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Geometry Midterm
n/a
95
Other
10th Grade
10/07/2009

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Term
Postulate 5
Definition
Through any two points there exists exactly one line.
Term
Postulate 6
Definition
A line contains at least two points.
Term
Postulate 7
Definition
If two lines intersect, then their intersection is exactly one point.
Term
Corollary
Definition
A statement that can be proved easily by a theorem or postulate.
Term
Bisect
Definition
To divide into two congruent parts.
Term
Theorem 3.11
Definition
If two lines are parallel to the same line, then they're parallel to the each other.
Term
Paragraph proof
Definition
A proof in paragraph form.
Term
Segment
Definition
Part of a line with endpoints and all points between the two endpoints.
Term
Line Segment
Definition
Part of a line with endpoints and all points between the two endpoints.
Term
Negation
Definition
The negative of a statement
Term
Conjecture
Definition
An unproven statement based on observations.
Term
Counterexample
Definition
An example that proves a statement false.
Term
Distance Formula
Definition
The formula that tells the distance between two points.
Term
Initial Point
Definition
The starting point in a raw which all points on the line extend from.
Term
Definition
Definition
Uses known words to describe a new word.
Term
Point
Definition
A point has no dimension and is represented by a small dot.
Term
Line
Definition
A line extends in one dimension.
Term
Plane
Definition
a plane extends in two dimensions.
Term
Collinear points
Definition
points that lie on the same line.
Term
Coplanar points
Definition
points which lie on the same plane.
Term
Intersect
Definition
to have one or more points in common
Term
intersection
Definition
the set of points that two or more geometric figures have in common.
Term
Segment addition postulate
Definition
If B is between AC, then AB + BC = AC
Term
Congruent segments
Definition
Segments with the same length.
Term
Angle
Definition
Consists of two different rays that have the same initial point.
Term
Sides of an Angle
Definition
Two rays which make up the angle
Term
Vertex
Definition
The initial point of the two rays which make up the angle
Term
Congruent angles
Definition
Angles with the same measure
Term
Interior of an angle
Definition
all points between the points that lie on each side of the angle
Term
Exterior of a point
Definition
All points not in the interior
Term
Acute angle
Definition
An able with a measure between 0 and 90
Term
Right angle
Definition
An angle with the measure of 90
Term
Obtuse angle
Definition
An angle with a measure between 90 and 180
Term
Straight angle
Definition
An angle with a measure of 180
Term
Adjacent angles
Definition
Two angles with a common vertex and side but no interior points.
Term
Midpoint
Definition
The point that divides or bisects a segment into two congruent segments
Term
Segment bisector
Definition
a segment, ray, line, or plane that intersects a segment at its midpoint
Term
Straightedge
Definition
A construction tool used to draw segments.
Term
Construction
Definition
A geometric drawing that uses a limited set of tools, usually a compass and straightedge.
Term
Midpoint formula
Definition
the formula used to determine the midpoint
Term
vertical angles
Definition
two angles whose sides form two pairs of opposite rays
Term
linear pair
Definition
two adjacent angles whose sides form two pairs of opposite rays.
Term
Complementary angles
Definition
Angles whose sum is 90
Term
Complement
Definition
The sum of an angle and it's complement is 90
Term
Supplementary
Definition
Two angels whose measure add up to 180
Term
Supplement
Definition
An angle and its supplement add up to 180
Term
Equilateral triangle
Definition
A triangle with three congruent sides
Term
Isosceles triangle
Definition
a triangle with at least two congruent sides
Term
Scalene triangle
Definition
a triangle with no congruent sides
Term
equiangular triangle
Definition
a triangle with three congruent angles
Term
right triangle
Definition
a triangle with one right angle
Term
acute triangle
Definition
a triangle with three acute angles
Term
obtuse triangle
Definition
a triangle with one obtuse angle
Term
vertex of a triangle
Definition
each of the three points joining the sides of a triangle
Term
adjacent sides of a triangle
Definition
two sides of a triangle with a common vertex
Term
hypotenuse
Definition
in a right triangle, the side opposite the right triangle
Term
triangle sum theorem
Definition
the sum of the measures of the interior angles of a triangle is 180
Term
corollary to the triangle sum theorem
Definition
the acute angles of a right triangle are complementary
Term
Reflexive property of equality
Definition
duh
Term
Symmetric property of equality
Definition
duh
Term
Transitive property of equality
Definition
duh
Term
reflexive property of congruence
Definition
duh
Term
symmetric property of congruence
Definition
duh
Term
transitive property of congruence
Definition
duh
Term
reflexive property of angle congruence
Definition
duh
Term
symmetric property of angle congruence
Definition
duh
Term
transitive property of angle congruence
Definition
duh
Term
reflexive property of triangle congruence
Definition
duh
Term
symmetric property of triangle congruence
Definition
Term
transitive property of triangle congruence
Definition
duh
Term
axiom
Definition
a rule accepted without proof
Term
postulate
Definition
a rule accepted without proof
Term
Base angles theorem
Definition
if two sides of a triangle are congruent, then the angles opposite them are congruent
Term
converse of base angles theorem
Definition
if two angles of a triangle are congruent, then the sides opposite them are congruent
Term
corollary to theorem 4.6
Definition
if a triangle is equilateral, it is also equiangular
Term
corollary to theorem 4.7
Definition
if a triangle is equiangular, then it is also equilateral
Term
hypothesis
Definition
duh
Term
conclusion
Definition
duh
Term
right angles congruence theorem
Definition
all right angles are congruent
Term
linear pair postulate
Definition
if two angles form a linear pair then are are supplementary
Term
vertical angles theorem
Definition
vertical angles are congruent
Term
parallel lines
Definition
duh
Term
transversal
Definition
a line that intersects two or more coplanar lines at diff. points
Term
skew lines
Definition
duh
Term
parallel planes
Definition
duh
Term
congruent figure
Definition
two figures with the exact same size and shape
Term
pythagorean theorem
Definition
duh
Term
between
Definition
duh
Term
vertex of an angle
Definition
the initial point of the two rays
Term
length
Definition
the distance between two points on a segment
Term
base angles
Definition
the angles which make up the base of an isosceles triangle
Term
SSS
Definition
if three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.
Term
SAS
Definition
if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.
Term
ASA
Definition
If two angles and the included side of one triangle are congruent to two sides and the included side of a second triangle, the two triangles are congruent.
Term
AAS
Definition
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
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