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64 Cards in this Set
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RIGHT ANGLE

90 degree angle


ACUTE ANGLE

less than 90 degrees


OBTUSE ANGLE

greater than 90 degrees


SUPPLEMENTARY ANGLES

together = 180 degrees


VERTEX

Point at which two lines meet


VERTICAL ANGLES

directly across and equal
MIRRORED 

Pythagoreum Theory

a^2 + b^2 = c^2
Hypotinese = c (longest side) 

POSTULATE 1

Through any two points, there is exactly one line.


POSTULATE 2

A line contains at least two distinct points


POSTULATE 3

Through any three noncollinear points, there is exactly one plane.


POSTULATE 4

A plane contains at least three noncollinear points.


POSTULATE 5

If two distinct points lie in a plane, then the line joining them lies in that plane.


POSTULATE 6

If two distinct planes intersect, then their intersection is a line.


POSTULATE 7

on a ruler or number line, you can find the distance between two points by substracting their coordinates and then taking the absolute value.


m<B=45
How do you read this? 
The measure of < B = 45 degrees.


What axis is
Vertical Up & down Rise 
Y axis


What axis is
Horizontal side to side Run 
X axis


Points, lines, and planes

Are UNDEFINED terms


. A

A point
has no size 

AB

Line
stream of points dimension: LENGTH 

Collinear

points that lie on the same line


Points that do NOT lie on the same line are called?

noncollinear


PLANE

is a flat surface, extends indefinitely in all directions.
Dimensions: LENGTH & WIDTH 

POSTULATE 6

If two distinct planes intersect, then their intersection is a LINE


I3I =

absolute value
3 

Find the length of the segment
_______________________ 3 4 5 6 
I 6 3 I
3 

Two segments with the same length are called:

CONGRUENT


POSTULATE 8 Segment addition
If point C is between Point A & B then AC + CB = AB 
If PQ + QR = RQ what is RQ
2x 1 3x+5 _______________________ P Q R 

MIDPOINT

Midpoint of a segments, is the point that divides the segments into TWO equal parts. MIDDLE MOST


A segment BISECTOR

is a segment, ray, line, or plane that INTERSECTS a segment at its MIDPOINT


MIDPOINT FORMULA

m = X1 + X2 , Y1 + Y2
2 2 

DISTANCE FORMULA

d = (X2X1)^2 + (Y2 Y1)^2


When you have the midpoint coordinates and one endpoint coordinates and want to find the other ENDPOIT

M = (X, Y) say (4, 1)
A = (2,3) 4=2 + X2 1= 3 + Y2 2 2 Solve for the X2, Y2 

Conjectures
always true or not? 
since made from generalizations: may not always be true


SLOPE = m
m= 
m= Y2  Y1
X2  X1 y=mx+b 

Distance = rate X time

d=rt
solve for t t= d/r 

AREA OF A CIRCLE
AREA of SQUARE 
A= pier^2
A= s^2 

VOLUME of a RECTANGLE

V= lwh


Perimeter of a triangle

P= a + b +c


Equation of a line passing through point (x, y)

y= mx+b
m= slope b= y intercept (when x is 0, y is ?) 

PERIMETER of a RECTANGLE

2l +2w =P


CONDITIONAL
STATEMENTS 
If this........Then that......
If you want to play on SAT. Then you will have to finish your homework 

HYPOTHESIS

is the part of the conditional following IF


CONCLUSION

is the part of the conditional statement following
THEN.... 

If a car is a Camero, then it is a Chevy.

is a Camaro= Hypothesis
then it is a Chevy= Conclusion 

CONVERSE of a conditional statement takes the hypothesis and the conclusion and interchanges them.

If a car is a Chevy, then it is a Camaro.
MAY NOT BE True. 

COUNTER example;
is an example that proves converse statements to be false. 
If a car is a Chevy, then it is a Camaro= is a counter example
Chevys can be corvettes, Malibu etc. 

When a CONDITIONAL & a CONVERSE statement are TRUE; they are called?

They are called
BICONDITIONAL STATEMENTS 

STRAIGHT Angle

measure is exaclty 180


PERPENDICULAR

When two lines form to make right angles


ANGLE ADDition POSTULATE 9

If point D is in the interior of <ABC, then m<ABD + <DBC = <ABC


ANGLE BISECTOR

the ray that divided the < into two CONGRUENT parts.


ADJACENT ANGLES

Two angles that share a side


LINEAR PAIR

Two angles that together form a straight angle


SUPPLEMENTARY ANGLES

The angles add up to 180 degrees
(BIG supper) 

COMPLIMENTARY ANGLES

The angles add up to 90 degrees


VERTICAL ANGLES

Two non adjacent angles that are opposite (mirrored) and congruent (equal)


PARALLEL LINES

SAME SLOPE


PERPENDICULAR LINES

SLOPE IS OPPOSITE RECIPROCAL SLOPE
IF m= 2/5 a Perpendicular line's slope would be 5/2 

Corresponding Angles

Corresponding < 1 , <5


Alternate Interior Angles

Alternate Interior <3, <6


SAME side Interior Angles

<3, <5


Alternate Exterior Angles

<1 , <8


Same Side Exterior Angles

<2, <8
