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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
I-3I =
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 = (X2-X1)^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