Shared Flashcard Set

Details

Vocabulary Projectt*
Last Project For Mrs. Mattison
207
Mathematics
9th Grade
06/07/2010

Additional Mathematics Flashcards

 


 

Cards

Term

 Chapter One!

Acute Angle*

[image]

Definition

 

 

Angle measuring less than 90 degrees.

Term

Chapter One!

Distance*

Definition

 

 

 

A gap, space, or interval between two points

Term

Chapter One!

Perpindicular Lines*

[image]

Definition

 

 

Two lines that intersect at right angles.

Term

Chapter One!

Acute Triangle*

[image]

Definition

 

 

Triangle whose all three acute angles.

Term

Chapter One!

Exterior*

Definition
Formed outside the polygon by extending one side

Term

Chapter One!

Plane*

[image]

Definition

 

 

A flat, two-dimensional object.

Term

Chapter One!

Adjacent Angle*

 [image]

Definition

 

 

Angles with atleast one side touching.

Term

Chapter One!

Interior*

Definition
Formed inside the shape or within two parallel lines


Term

Chapter One!

Point*

[image]

Definition

 

specifies only location; it has no length, width, or depth.

Term

Chapter One!

Angle*

[image]

Definition
Formed by two rays with a common endpoint


Term

Chapter One!

Line*

[image]

Definition

 

Has only one dimension: length. It continues forever in two directions (so it has infinite length), but it has no width at all.

Term

Chapter One!

Postulate*

 

Ex) ASA

Definition

 

 

A fundamental element; a basic principle.

Term

Chapter One!

Angle Bisector*

[image]

Definition

 

 

A line that cuts an angle in half exactly.

Term

Chapter One!

Line Segment*
[image]
Definition

 

 The portion of a line lying strictly between two points. It has a finite length and no width.

Term

Chapter One!

Ray*

[image]

Definition

 

 

Beginning at one point & going on forever in the opposite direction.

Term

Chapter One!

Collinear*

[image]

Definition

 

 

Lying on the same line.

Term

Chapter One!

Linear Pair*

[image]

Definition

 

 

Two angles that are adjacent and supplementary.

Term

Chapter One!

Right Angle*

[image] 

Definition

 

 

Angle measuring 90 degrees,

Term

Chapter One!

Complementary Angles*

[image] 

Definition

 

 

Two angles that add up to 90 degrees.

Term

Chapter One!

Midpoint*

[image] 

Definition

 

A point that lies on a line, exactly in between two other points on that same line.

Term

Chapter One!

Segment Bisector*

 

[image] 

Definition

 

 

Line that cuts a segment in half exactly.

Term

Chapter One!

Congruent*

[image]

 

Definition

 

Two figures are congruent if all corresponding lengths are the same, and if all corresponding angles have the same measure.

Term

Chapter One!

Obtuse Angle*

[image]

Definition

 

 

Angle measuring over 90 degrees.

Term

Chapter One!

Space*

Definition

 

 

A set of elements or points satisfying specified geometric postulates

Term

Chapter One!

Coplanar*

[image]

Definition

 

 

Lying on the same plane.

Term

Chapter One!

Opposite Rays*

[image]

Definition

 

 

Two rays that lie on the same or parallel lines but point in opposite.

Term

Chapter One!

Supplementary Angles*

[image]

Definition

 

 

Angles that add up to 180 degrees.

Term

Chapter One!

Degrees*

[image] 

Definition

 

 

 

Unit of measurement of an angle.

Term

Chapter One!

Perpindicular Bisector*

[image] 

Definition

 

The perpendicular bisector of a line segment is perpendicular to that segment and bisects it; that is, it goes through the midpoint of the segment, creating two equal segments.

Term

Chapter One!

Undefined Terms*

[image]

Definition

 

 

Point, Line & Plane

Term

Chapter One!

Vertex*

[image] 

Definition

 

 

The point where two sides

of a polygon meet.

Term

Chapter One!

Vertical Angles*

[image]

 

Definition
The opposite angles formed by the intersection of two lines. Vertical angles are equal in measure.


Term

Chapter Two!

Biconditional*

 

[image] 

Definition

 

 

If And Only If (Iff)

Term

Chapter Two!

Compound Statement*

 

 

[image] 

Definition

 

 

 

If Statement

Term

Chapter Two!

Conclusion*

 

[image]

Definition

 

 

Outcome

Term

Chapter Two!

Conditional Statement*

Definition

 

 

If-Then Statement

Term

Chapter Two!

Conjecture*

Definition

 

 

 

An educated guess

Term

Chapter Two!

Contrapositive*

 

[image]

Definition

 

 

The converse of the statement If p, then q is the statement If q, then p.

Term

Chapter Two!

 Converse*

Definition

 

 

"If" and "then" parts of a sentence are switched.

Term

Chapter Two!

Counterexample*

Definition

 

 

The contrapositive of the statement If p, then q is the statement If not q, the not p.

Term

Chapter Two!

Deductive Reasoning*

Definition

 

 

Proving statements by reasoning from accepted postulates, definitions, theorems, and given information.

Term

Chapter Two!

Flow Proof*

[image]

Definition
this method displays the delineated structure of a proof using boxes and connecting arrows
Term

Chapter Two!

Hypothesis*

[image]

Definition

 

 

 

An educated guess

Term

Chapter Two!

 If-Then Statement*

Definition

 

 

A statement whose basic form is If p, then q. Statement p is the hypothesis and statement q is the conclusion.

Term

Chapter Two!

Inductive Reasoning*

Definition

 

 

A kind of reasoning in which the conclusion is based on several past observations.

Term

Chapter Two! 

Inverse*

Definition

 

 

 

The inverse of the statement If p, then q, is the statement If not p, then not q.

Term

Chapter Two!

Negation*

[image]

Definition
a negative statement
Term

Chapter Two!

Paragraph Proof*

[image]

Definition
A kind of proof in which the steps are written out in complete sentences, in paragraph form
Term

Chapter Two!

Proof*

[image]

Definition
any factual evidence that helps to establish the truth of something
Term

Chapter Two!

Properties*

[image]

Definition
In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology
Term

Chapter Two!

Statement*

Definition
something that is stated
Term

Chapter Two!

Theorem*

[image]

Definition

 

 

A proven fact.

Term

Chapter Two!

Two-Column Proof*

[image] 

Definition
A two-column geometric proof consists of a list of statements, and the reasons that give explanation.
Term

Chapter 3,4&5!

Alternate Exterior Angles*

[image]

 

Definition
Angles located outside a set of parallel lines and on opposite sides of the transversal.
Term

Chapter 3,4&5!

Alternate Interior Angles*

[image]

Definition
Angles located inside a set of parallel lines and on opposite sides of the transversal.
Term

Chapter 3,4&5!

Corresponding Angles*

[image]

Definition

 

 

In the same position. Coinciding.

Term

Chapter 3,4&5!

Consecutive Interior Angles*

[image]

Definition

 

Interior Angles next to each other, inside two parallel lines cut by a tranversal.

Term

Chapter 3,4&5!

Equidistant*

[image]

Definition
the same distance apart at every point
Term

Chapter 3,4&5!

Parallel Lines*

[image]

Definition

 

 

Two lines in the same plane that never intersect.

Term

Chapter 3,4&5!

Parallel Planes*

[image]

Definition
Parallelism is a term in geometry and in everyday life that refers to a property in Euclidean space of two or more lines or planes, or a combination of these. The existence and properties of parallel lines are the basis of Euclid's parallel postulate; planes that never intersect
Term

Chapter 3,4&5!

Skew Lines*

[image]

Definition
In solid geometry, skew lines are two lines that do not intersect but are not parallel. Equivalently, they are lines that are not both in the same plane
Term

Chapter 3,4&5!

Transversal*

[image]

Definition

 

 

A line that passes through (transverses) two other lines.

Term

Chapter 3,4&5!

Included Angle*

[image]

Definition
The included angle is double the cutting angle
Term

Chapter 3,4&5!

Included Side*

[image] 

Definition
The side between two consecutive angles of a polygon.
Term

Chapter 3,4&5!

Hypotenuse/Leg*

[image]

Definition
two right triangles are congruent if their hypotenuses are congruent and a corresponding leg is congruent.
Term

Chapter 3,4&5!

CPCTC*

[image]

Definition
In geometry, CPCTC is the abbreviation of a theorem involving congruent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent
Term

Chapter 3,4&5!

SAS*

[image] 

Definition
If any two sides of a triangle are equal in length to two sides of another triangle and the angles bewteen each pair of sides have the same measure, then the two triangles are congruent; that is, they have exactly the same shape and size.
Term

Chapter 3,4&5!

SSS*

[image]

Definition

 

If the three sides of one triangle have the same lengths as the three sides of another triangle, then the two triangles are congruent.

Term

Chapter 3,4&5!

ASA*

[image]

Definition
a rule used in geometry to prove triangles are congruent.  The rule states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent
Term

Chapter 3,4&5!

AAS*

[image]

Definition
If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent
Term

Chapter 3,4&5!

Indirect Reasoning*

Definition
Reasoning (proofs) using the Law of the Contrapositive, the Law of Ruling Out Possibilities, or the Law of Indirect Reasoning.
Term

Chapter 3,4&5!

Indirect Proof*

[image]

Definition
In logic, proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that the proposition being false would imply a contradiction
Term

Chapter 3,4&5!

Overlapping*

[image]

 

Definition
In mathematics, computer science and logic, overlap, as a property of the reduction rules in term rewriting system, describes a situation where a number of different reduction rules specify potentially contradictory ways of reducing a reducible expression (or redex) within a term.
Term

Chapter 3,4&5!

Triangles*

[image] 

 

Definition
A three-sided plane closed figure. Contains three angles the sum of whose measures is 180°.


Term

Chapter Six!

Extremes*

[image] 

Definition
of the greatest possible degree or extent or intensity; most distant in any direction
Term

Chapter Six!

Means*

Definition
how a result is obtained or an end is achieved
Term

Chapter Six!

Proportion*

[image]

Definition
the quotient obtained when the magnitude of a part is divided by the magnitude of the whole
Term

Chapter Six!

Ratio*

 

3:2

Definition
the relative magnitudes of two quantities
Term

Chapter Six!

Scale Factor*

[image] 

Definition
The ratio by which a drawing or figure is enlarged or reduced. The resultant figure is similar to the original
Term

Chapter Six!

Similar*

[image]

Definition

 

Two polygons are similar polygons if corresponding angles have the same measure and corresponding sides are in proportion.

Term

Chapter Six!

Polygons*

 

[image]

Definition

A two-dimensional geometric figure with these characteristics:

 

1. It is made of straight line segments.

2. Each segment touches exactly two other segments, one at each of its endpoints.

3. It is closed

Term

Chapter Six!

Concave*

[image] 

 

Definition

 

 Any polygon with an angle measuring more than 180°. Concave polygons look like they are collapsed or have one or more angles dented in.

Term

Chapter Six!

Convex*

[image]

Definition

 

 

Any polygon that is not concave.

Term

Chapter Six!

Mid-Segment Of A Triangle*

[image]

Definition
The mid-segment of a triangle joins the midpoints of two sides of a triangle such that it is parallel to the third side of the triangle
Term

Chapter Six!

Regular*

[image]

Definition
A regular polygon is a polygon which is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star.
Term

Chapter Six!

Similar Polygons*

[image]

Definition
A polygon having the same shape but not the same size, in proportion


Term

Chapter Seven!

Angle Of Depression*

[image]

Definition
The angle formed by the horizontal and the line of sight to an object below the horizontal
Term

Chapter Seven!

Angle Of Elevation*

[image] 

Definition
The angle formed by the horizontal and the line of sight to an object above the horizontal
Term

Chapter Seven!

Cosine*

[image] 

Definition

 

 

Cosine = Adjacent/Hypotenuse

Term

Chapter Seven!

Geometric Mean*

Definition
the mean of n numbers expressed as the n-th root of their product
Term

Chapter Seven!

Pythagorean Theorem*

[image]

Definition

 

States that if you have a right triangle, then the square built on the hypotenuse is equal to the sum of the squares built on the other two sides

Term

Chapter Seven!

Sine*

[image]

Definition

 

 

Sine= Opposite/Hypotenuse

Term

Chapter Seven!

Solving A Triangle*

Definition
A triangle has six parts, three sides and three angles. Given almost any three of them — three sides, two sides and an angle, or one side and two angles — you can find the other three values. This is called solving the triangle, and you can do it with any triangle, not just a right triangle.
Term

Chapter Seven!

Tangent*

[image]

Definition

 

 

Tangent= Opposite/Adjacent

Term

Chapter Seven!

Trigonometry*

[image]

 

Definition
the mathematics of triangles and trigonometric functions
Term

Chapter Seven!

Altitude Of A Right Triangle*

[image] 

Definition

 

 

Line segment connecting a vertex to the line containing the opposite side and perpendicular to that side.

Term

Chapter Seven!

Law Of Sines*

[image] 

Definition
In trigonometry, the law of sines (also known as the sines law, sine formula, or sine rule) is an equation relating the lengths of the sides of an arbitrary triangle to the sines of its angle
Term

Chapter Seven!

Law Of Cosines*

[image]

Definition
Term

Chapter Seven!

Unit Circle*

[image]

Definition
In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, "the" unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane
Term

Chapter Eight!

Diagonal*

[image]

Definition
A line segment connecting one vertex to another vertex, and not a side of the polygon


Term

Chapter Eight!

Isosceles Trapezoid*

[image] 

Definition

 

 

A trapezoid with congruent base angles.

Term

Chapter Eight!

Kite*

[image] 

Definition

 

 

Quadrilateral that has two pairs of adjacent sides congruent (the same length).

Term

Chapter Eight!

Median(Midsegment of a Trapezoid)*

[image]

Definition

 

 

A line segment parallel to the bases and bisecting the legs.

Term

Chapter Eight!

Parallelogram*

[image] 

Definition

 

 

A quadrilateral that has two pairs of opposite sides that are parallel.

Term

Chapter Eight!

Rectangle*

[image] 

Definition

 

 

 A quadrilateral with four right angles; and two pairs of congruent sides.

Term

Chapter Eight!

Rhombus*

[image]

Definition

 

 

Quadrilateral that has all four sides congruent.

Term

Chapter Eight!

Square*

[image]

Definition

 

 

A regular quadrilateral; four congruent sides and angles; four 90 degree angles.

Term

Chapter Eight!

Trapezoid*

[image]

Definition

 

 

A quadrilateral that has one pair of opposite sides that are parallel.

Term

Chapter Eight!

Consecutive Angles Of A Quadrilateral*

[image] 

Definition
are any two angles whose vertices are the endpoints of the same side
Term

Chapter Eight!

Decagon*

[image]

Definition

 polygon with 10 sides and 10 angles

 

Term

Chapter Eight!

Dodecagon*

[image]

 

Definition
a twelve-sided polygon
Term

Chapter Eight!

Exterior Angles Of A Polygon*

[image]

Definition
Angle formed outside the polygon by extending one side.

Term

Chapter Eight!

Hexagon*

[image] 

Definition
A plane closed figure with six sides and six angles.

Term

Chapter Eight!

Heptagon*

[image]

Definition
A plane closed figure with seven sides and seven angles

Term

Chapter Eight!

Interior Angles Of A Polygon*

 

ex: 5-2(180)/5
int. angle: 108

Definition

the angle inside the shape

n-2(180)/n

Term

Chapter Eight!

N-Gon*

Definition

 

 

 

A polygon of n sides.

Term

Chapter Eight!

Nonagon*

[image]

Definition
A plane closed figure with nine sides and nine angles


Term

Chapter Eight!

Octagon*

[image]

Definition
A plane closed figure with eight sides and eight angles


Term

Chapter Eight!

Opposite Angles Of A Quadrilateral*

[image]

Definition
are congruent
Term

Chapter Eight!

Pentagon*

[image] 

Definition
A five-sided plane closed figure. The sum of its five angles is 540°.

Term

Chapter Eight!

Perimeter*

[image] 

Definition
The total distance around the outside of any polygon. The total length of all the sides.


Term

Chapter Eight!

Quadrilateral*

[image]

Definition

 

 

A polygon with exactly four sides.

Term

Chapter Eight!

Bases Of A Trapezoid*

[image]

Definition
the parallel sides of a trapezoid
Term

Chapter Eight!

Height Of A Trapezoid*

[image] 

Definition
The height of the trapezoid is the perpendicular distance between the bases
Term

Chapter Eight!

Undecagon*

[image]

Definition
an eleven-sided polygon
Term

Chapter Ten!

Arc*

[image]

Definition
The set of points on a circle that lie in the interior of a central angle.

Term

Chapter Ten!

Center*

[image]

Definition
a point equidistant from the ends of a line or the extremities of a figure
Term

Chapter Ten!

Central Angle*

[image]

Definition

 

 

An angle with its vertex at the center of a circle.

Term

Chapter Ten!

Chord*

[image]

Definition
A line segment joining any two points on a circle


Term

Chapter Ten!

Circle*

[image] 

Definition

 

The set of all points in a plane that are equidistant from a given point in the plane, which is the center of the circle.

Term

[image]Chapter Ten!

Circumference*

 

Definition

 

 

The distance around a circle

Term

Chapter Ten!

Circumscribed*

[image]

Definition
 the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the circumcenter
Term

Chapter Ten!

Common External Tangent*

[image]

Definition
A tangent of two circles is a common external tangent if the intersection of the tangent and the line segment joining the centers is empty
Term

Chapter Ten!

Common Internal Tangent*

[image]

Definition
A tangent of two circles is a common internal tangent if the intersection of the tangent and the line segment joining the centers is not empty
Term

Chapter Ten!

Concentric Circles*

[image]

Definition

 

 

Circles with the same center.

Term

Chapter Ten!

Diameter*

[image]

Definition

 

 

Segment that passes through the center and has its endpoints on the circle.

Term

Chapter Ten!

Externally Tangent Circles*

[image]

Definition
Two circles, neither of which is inside the other
Term

Chapter Ten!

Inscribed Angles*

[image]

Definition

 

In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle 

 An angle whose vertex is on a circle and whose rays intersect the circle.

Term

Chapter Ten!

Inscribed Figure*

[image] 

Definition
In geometry, an inscribe planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. Specifically, at all points where figures meet, their edges must lie tangent
Term

Chapter Ten!

Intercepted Arc*

[image]

Definition
 a central angle can intercept or 'cut off' an arc
Term

Chapter Ten!

Internally Tangent Circles*

[image]

Definition
Two circles, one of which is inside the other, that have a single point in.
Term

Chapter Ten!

Major Arc*

[image]

Definition
the larger of two arcs formed when a circle is divided into two unequal parts
Term

Chapter Ten!

Minor Arc*

[image]

Definition
the smaller of two arcs formed when a circle is divided into two unequal parts
Term

Chapter Ten!

Pi*

[image]

Definition
A constant used in determining a circle's area or circumference. Equals approximately 3.14 or 22/7

Term

Chapter Ten!

Point Of Tangency*

[image]

Definition
In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that "just touches" the curve at that point
Term

Chapter Ten!

Radius*

[image]

Definition

 

The distance from the circle's center to a point on the circle, and is constant for a given circle.

Term

Chapter Ten!

Secant*

[image]

Definition
a straight line that intersects a curve at two or more points. ratio of the hypotenuse to the adjacent side of a right-angled triangle 
Term

Chapter Ten!

Semicircle*

[image]

Definition
 a semicircle is a two-dimensional geometric shape that forms half of a circle. Being half of a circle's 360°, the arc of a semicircle always measures 180°. A triangle inscribed in a semicircle is always a right triangle.
Term

Chapter Eleven!

Apothem*

[image]

Definition
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word "apothem" can also refer to the length of that line segment
Term

Chapter Eleven!

Geometric Probability*

Definition
Problems of the following type, and their solution techniques, were first studied in the nineteenth century, and the general topic became known as geometric probability
Term

Chapter Eleven!

Irregular Figure*

[image]

Definition
a  irregular figure is not a particular shape it may have two or more figures in to make a irregular figure
Term

Chapter Eleven!

Irregular Polygon*

[image]

Definition

In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments 

 

Any polygon that is not regular.

Term

Chapter Eleven!

Sector Of A Circle*

[image]

Definition
the portion of a circle enclosed by two radii and an arc
Term

Chapter Eleven!

Segment Of A Circle*

[image]

Definition
an area of a circle informally defined as an area which is "cut off" from the rest of the circle by a secant or chord
Term

Chapter 12/13!

Altitude Of A 3D Figure*

[image]

Definition

 

 Line segment connecting a vertex to the line containing the opposite side and perpendicular to that side.

Term

Chapter 12/13!

Bases*

[image]

Definition
 the bottom side of a geometric figure from which the altitude can be constructed
Term

Chapter 12/13!

Cone*

[image]

Definition
a shape whose base is a circle and whose sides taper up to a point
Term

Chapter 12/13!

Congruent Figures*

[image]

Definition
If two figures are congruent, then their corresponding parts are congruent
Term

Chapter 12/13!

Cube*

[image]

Definition
A six-sided solid. All sides are equal squares and all edges are equal.



Term

Chapter 12/13!

Congruent Solids*

[image]

Definition
A prism is a solid that has two congruent parallel bases that are polygons
Term

Chapter 12/13!

Cylinder*

[image]

Definition
a solid bounded by a cylindrical surface and two parallel planes
Term

Chapter 12/13!

Edges*

 

[image]

Definition

 

 

Line segment where two faces intersect.

Term

Chapter 12/13!

Face*

 

[image]

Definition

 

a surface forming part of the outside of an object 

Polygon by which a solid object is bound

Term

Chapter 12/13!

Great Circle*

 

[image]

Definition
a circular line on the surface of a sphere formed by intersecting it with a plane passing through the center
Term

Chapter 12/13!

Height*

 

[image]

Definition
Altitude. From the highest point, a perpendicular drawn to the base.


Term

Chapter 12/13!

Hemisphere*

 

[image]

Definition
A half-sphere, formed by a plane intersecting the center of a sphere
Term

Chapter 12/13!

Lateral Area*

 

[image]

Definition
The sum of the areas of the lateral (vertical) faces of a cylinder, cone, frustum, or the like
Term

Chapter 12/13!

Lateral Faces*

 

[image]

Definition
the polygon shapes making up the sides of a polyhedron
Term

Chapter 12/13!

Nets*

 

[image]

Definition

 

A plane figure obtained by opening and flattening a solid figure 

Two-dimensional representation of a three-dimensional object

Term

Chapter 12/13!

Oblique (Cone, Cylinder, Prism)*

 

[image][image][image]

Definition

Cone: A cone with an apex that is not aligned above the center of the base.

Cylinder: A cylinder with bases that are not aligned one directly above the other

Prism: A prism in which the bases are not aligned properly

Term

Chapter 12/13!

Platonic Solids*

 

[image]

Definition

 

A solid such that all of its faces are congruent regular polygons and the same number of regular polygons meet at each vertex.

Term

Chapter 12/13!

Dodecahedron*

 

[image]

Definition
any polyhedron having twelve plane faces
Term

Chapter 12/13!

Hexahedron*

 

[image]

 

 

Definition
any polyhedron having six plane faces
Term

Chapter 12/13!

Icosahedron*

 

[image]

Definition
any polyhedron having twenty plane faces
Term

Chapter 12/13!

Tetrahedron*

 

[image]

Definition
any polyhedron having four plane faces
Term

Chapter 12/13!

Octahedron*

 

[image]

Definition
any polyhedron having eight plane faces
Term

Chapter 12/13!

Polyhedron*

 

[image]

Definition

 

 

A closed three-dimensional figure. All of the faces are made up of polygons.

Term

Chapter 12/13!

Prism*

 

[image]

Definition
A three-dimensional shape bounded by congruent parallel faces and a set of parallelograms formed by joining the corresponding vertices of the bases.


Term

Chapter 12/13!

Pyramid*

 

[image]

Definition
a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex
Term

Chapter 12/13!

Right (Cone,Cylinder,Prism)*

 

[image][image][image]

Definition

 

Cone: a shape whose base is a circle and whose sides taper up to a point at a right angle

Cyclinder: a solid bounded by a cylindrical surface and two parallel planes and a right angle
Prism:

 polyhedron with two congruent and parallel faces (the bases) and whose lateral faces are parallelograms Base meets side at a right angle.

Term

Chapter 12/13!

Similar Solids*

 

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Definition
solids with the same shape and all their corresponding dimensions are proportional
Term

Chapter 12/13!

Slant Height*

 

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Definition
The slant height of a right circular cone is the distance from any point on the circle to the apex of the cone
Term

Chapter 12/13!

Sphere*

 

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Definition
a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball
Term

Chapter 12/13!

Surface Area*

 

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Definition
The total surface of all sides of a solid, or the total area of faces.

Term

Chapter 12/13!

Vertices Of A 3D Object*

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Definition
The points at which two rays meet and form an angle, or the point at which two sides meet in a polygon.


Term

Chapter 12/13!

Volume*

 

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Definition
The volume of any solid, liquid, gas, plasma, or vacuum is how much three-dimensional space it occupies, often quantified numerically
Term

Chapter Nine!

Center Of Dilation*

 

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Definition
a fixed point in the plane about which all points are expanded or contracted
Term

Chapter Nine!

Center Of Rotation*

 

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>> P

Definition
the point that does not move
Term

Chapter Nine!

Column Matrix*

 

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Definition
 column matrix is an ordered list of numbers written in a column
Term

Chapter Nine!

Columns Of A Matrix*

 

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Definition
the vertical lines are called columns
Term

Chapter Nine!

Composition*

 

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Definition
function composition is the application of one functon to the results of another.
Term

Chapter Nine!

Image*

 

 

Definition
the set of values of the dependent variable for which a function is defined; "the image of f(x) = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers
Term

Chapter Nine!

Dilation*

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Definition
a dilation is a function from a metric space into itself that satisfies the identity
Term

Chapter Nine!

Identity Matrix*

 

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Definition
a scalar matrix in which all of the diagonal elements are unity
Term

Chapter Nine!

Isometry*

 

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Definition
an isometry, isometric isomorphism or congruence mapping is a distance-preserving map between metric spaces. Geometric figures which can be related by an isometry are called congruent
Term

Chapter Nine!

Mapping*

Definition
In mathematics and related technical fields, the term map or mapping is a synonym for function. Thus, for example, a partial map is a partial function, and a total map is a total function. Related terms like domain, codomain, injective, continuous, etc
Term

Chapter Nine!

Pre-Image*

 

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>> Pre-image; Figure 1

Definition
The image before it is changed
Term

Chapter Nine!

Reflection*

 

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Definition

 

 

A mirror image of the object.

Term

Chapter Nine!

Reflection Matrix*

Definition
Term

Chapter Nine!

Rotation*

 

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Definition

 a transformation in which the coordinate axes are rotated by a fixed angle about the origin

 

 An object is turned about a "center" point, through a particular angle.

Term

Chapter Nine!

Rotation Matrix*

 

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Definition
a rotation matrix is any matrix that acts as a rotation in Euclidean space
Term

Chapter Nine!

Row Matrix*

 

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Definition
The transpose of a row vector is a column vector: The set of all row vectors forms a vector space which is the dual space to the set of all column vectors
Term

Chapter Nine!

Scalar*

 

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Definition
quantity used to multiply vectors in the context of vector spaces
Term

Chapter Nine!

Standard Matrix*

 

 

Definition
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Term

Chapter Nine!

Translation*

 

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Definition

a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same 

 

An object is moved in a given direction for a particular distance.

Term

Chapter Nine!

Translation Matrix*

 

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Definition
a translation is moving every point a constant distance in a specified direction
Term

Chapter Nine!

Vertex Matrix*

 

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Definition

Given a reference triangle ABC, the trilinear vertex matrix of another triangle ABC is the 3x3 matrix whose rows are the trilinear coordinates of the vertices A', B', and C'. For example, ABC has trilinear vertex matrix

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