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ALP Geometry
Geometry Vocab
56
Mathematics
10th Grade
11/14/2012

Additional Mathematics Flashcards

 


 

Cards

Term
line
Definition
The straight path connecting two points and extending beyond the points in both directions.
Term
plane
Definition

A flat surface extending in all directions.

 A plane is a two-dimensional figure.


[image]

 

Term

formula used to find

perimeter of a rectangle

Definition

P = 2L + 2W

[image]

P = 2(8) + 2(4)

P = 16 + 8

P = 24

 

Term
coplanar
Definition

points that lie on the same plane

 

[image]

Term
complementary angles
Definition

The sum of the measures of two angles is 90 degrees

 

[image]

Term
leg
Definition
the 2 sides that form the right angle
Term
pythagorean theorem
Definition

 

[image]

Term

congruent

 [image]

Definition

having the same measure

 

 

Term
segment
Definition

 the set of points consisting of two distinct points and all inbetween them; written [image]

 

Term
perpendicular lines
Definition

special intersecting lines that form right angles

 

[image]

Term
adjacent angles
Definition

Angles in the same plane that have a common vertex and a common side, but no common interior points

[image]

Term
collinear
Definition

points lying on the same line

 

[image]

Term
[image]
Definition
intersecting planes
Term
formula used to find area of a rectangle
Definition

A = L • W

[image]

A = 8 • 4

A = 32

 

 

Term
Vertex
Definition

Where the two rays making up angle meet.


[image]

Term
linear pair
Definition
adjacent angles whose noncommon sides are opposite rays[image]
Term
segment bisector
Definition

cuts a segment into 2 equal halves

 

[image]

Term
angle bisector
Definition

cuts an angle into 2 equal angles

[image]

Term
point
Definition

 An exact location in space, usually represented by a dot and labeled with a capital letter

 

• A

 

 

Term
supplementary angles
Definition

Two angles whose measures have a sum of 180

 

 

[image]

 

Term
vertical angles
Definition
two nonadjacent angles formed by two intersecting lines[image]
Term
noncollinear
Definition

points that do not all lie on a single line

 

 

Term
right angle
Definition

angle whose measure is 90°

 

[image]

 

Term
acute angle
Definition

angle whose measure is less than 90°

 

[image]

Term
obtuse angle
Definition

angle whose measure is greater than 90°

 

[image]

Term

[image]

What is the name of the line on the left?

Are the points collinear or noncollinear?

Why does the line on the right have a m?

Definition

points A and B are collinear

You can call that Line AB or  [image]

 

You can also label a line by a lowercase script letter like line m

Term
ray
Definition

A part of a line starting at a particular point and extending infinitely in one direction.


[image]

Term
angle
Definition

Two rays sharing a common endpoint.


[image]

Term
bisect
Definition
cut into 2 equal pieces
Term
hypotenuse
Definition

The longest side of a right triangle. It is directly across from the right angle.


[image]

Term
[image]
Definition
line AB
Term
midpoint
Definition

a point that divides a segment into two equal pieces

 

[image]

Term
midpoint formula for segment
Definition

a + b

2

Term
conjecture
Definition

an assumption based on given information;

an educated guess

Term
contrapositive
Definition

if not q, then not p


Switching the hypothesis and conclusion of a conditional statement and negating both.

"If it is raining then the grass is wet"

the contrapositive is

"If the grass is not wet then it is not raining."

 

Term
converse
Definition

Switching the hypothesis and conclusion of a conditional statement.


 "If it is raining then the grass is wet"


The converse is


"If the grass is wet then it is raining."

Term
inverse
Definition

Negating both the hypothesis and conclusion of a conditional statement.


 "If it is raining then the grass is wet"


The inverse is:


"If it is not raining then the grass is not wet".

Term
Counter Example
Definition
One example that proves a conjecture false.
Term
Law of Detachment
Definition

States that if p=>q is true and p is true, then q must be true.

 

If an angle is obtuse, then it cannot be acute.
Angle A is obtuse.
Therefore
Angle A cannot be acute

Term
Law of Syllogism
Definition

If p=>q and q=>r are both true, then p=>r is true.


If the electric power is cut, then the refrigerator does not work. 
If the refrigerator does not work, then the food is spoiled. 
So if the electric power is cut, then the food is spoiled.  

Term
Inductive Reasoning
Definition
A method used to arrive at a conjecture which involves looking at specific situations.
Term
Reflexive Property
Definition

A quantity is congruent (equal) to itself. 


a = a

Term
Symmetric Property
Definition

If

a = b

then

b = a

Term
Transitive Property
Definition

If

a = b

and

b = c

then

a = c

Term
Addition and Subtraction Properties
Definition

if a = b then

a + c = b + c

and

a - c = b - c

 

 

 

 

Term
Multiplication and Division Properties
Definition

If a = b

then

a • c = b • c

 

if c is not 0

then

a = b

                                            c    c

Term

Angle Addition Postulate

(ADD)

Definition

The measure of the larger angle is the sum of the measures of the two smaller ones.


[image]

Term

Segment Addition Postulate

(SAP)

Definition

The distance from one endpoint to the otherendpoint is the sum of the distances from a point between them  to either endpoint.

 
Term
Transversal
Definition
A line that intersects 2 or more lines.
Term
Interior angles
Definition
Angles that are between the 2 lines intersected by the transversal.
Term
alternate Interior Angles
Definition
2 Non-Adjacent angles on opposite sides of the transversal.
Term
consecutive Interior Angles
Definition
2 Interior angles on the same side of the transversal.
Term
Exterior Angles
Definition
Angles formed by 2 lines intersected bty a transversal and lie on the outside of the 2 lines.
Term
Alternate Exterior Angles
Definition
2 non-adjacent Exterior angles that are on opposite sides of the Transversal.
Term
Corresponding Angles
Definition
2 non adjacent angles (1 - interior and 1- exterior) that are on the same side of the transversal
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