Formulas and Postulates
Point, Lines, and Planes
Angle Relationships
X marks the spot
Find it!
100
sqrt((x-x)^2+(y-y)^2
Distance Formula
100
An exact location in space
Point
100
An interior ray that splits the larger angle into two smaller congruent angles
Bisector
100
x=75
y=105
z=105
100
Name a Ray
KM,
KL,
KH,
KJ,
KN
200
((x+x)/2,(y+y)/2)
Midpoint Formula
200
2 or more points on the same line
Collinear
200
What relationship do angle A and Angle B have?
Vertical Angles
200
x=21
200
What is another name for line a?
JL,
KL,
JK,
LJ,
300
E (x,y)
M (x,y)
E (__,__)
Finding an Endpoint
300
2 or more points that are not on the same plane
noncoplanar
300
What relationship do these two angles have?
Complementary Angles
300
Given that Y is the midpoint of segment XZ. If XY=6x-15 and YZ=2x+5. What is x?
x=5
300
Name 2 adjacent angles
RNO & ONQ
ONQ & QNP
QNP & PNM
PNM & MNR
MNR & RNO
400
AB+BC=AC
Segment Addition Postulate
400
A point exactly halfway between to two endpoints on a line.
Midpoint
400
What relationship do these two angles have?
Supplementary Angles
400
XY has endpoints X(2,6) and Y(5,2). What is the length of XY?
5
400
Name 2 Supplementary Angles
RNO & ONQ
ONQ & QNM
QNP & PNR
PNM & PNO
MNR & RNO
500
Angle Addition Postulate
500
A piece of a line that has one endpoint and continues infinitely in the other direction.
Ray
500
What is the most exact name for the relationship of the angles below?
Linear Pair
500
The midpoint of AB is M(6,2). One endpoint A is (4,7). What are the coordinates of the other endpoint, B?
B (8, -3)
500
Name 2 vertical Angles
RNO & MNQ
RNM & ONQ