Vocabulary
Points, Lines, and Planes
Segment Addition
Distance/Midpoint Formula
Angle Measures
100
Points that lie on the same line
What is collinear?
100
Points G or F
100
AC+____=AB
CB
100
What is the midpoint formula?
(X1+X2)/2, (Y1+Y2)/2
100
Describe the angle relationship between angles 1 and 2 (Are they adjacent, vertical, complementary, supplementary, or a linear pair) *HINT: it can be more than one
Adjacent, supplementary, and linear pair
200
Formed by two rays with a common endpoint
What is an angle?
200
Name the intersection of lines DF and JI.
Point G
200
If AC=22 and CB=15, find AB.
22+15=37
AB=37
200
What is the distance formula?
√ (X2-X1)²+(Y2-Y1)²
200
Vertical angles
300
(X1+X2)/2, (Y1+Y2)/2
What is midpoint formula?
300
Points D, F, H, or K
300
If AB=54 and AC=31, find CB.
54-31=23
CB=23
300
Find the coordinates of the midpoint of HK if H(-1,2) and K(-7,-4).
MP=(-1+-7)/2, (2+-4)/2
=(-8/2), (-2/2)
=-4,-1
300
7x-9+5x-11=9x+1
12x-20=9x+1
3x-20=1
3x=21
x=7
400
Any two angles whose sum is 180°
What are supplementary angles?
400
Give another name for line DF.
Line DG or line GF
400
If AB=6x-5, AC=x+7, and CB=3x+20, find CB.
x+7+3x+20=6x-5
4x+27=6x-5
27=2x-5
32=2x
x=16
CB=3(16)+20
CB=68
400
Find ST if S(-3,10) and T(-2,3)
√ (-2- -3)²+(3-10)²
√ (1)²+(-7)²
√ 1+49
√ 50=7.1
400
Find the value of x.
5x=2x+24
3x=24
x=8
500
Two angles that are adjacent and supplementary
What is a linear pair?
500
Name the plane
Plane H
500
If AC=23-2x, CB=9x-5 and AB=39, find AC.
23-2x+9x-5=39
7x+18=39
7x=21
x=3
AC=23-2(3)=17
500
Find the coordinates of Z if Y is the midpoint of XZ and X(-10,9) and Y(-4,8)
-4=10+x/2
-8=-10+x
x=2
8=9+y/2
16=9+y
y=7
500
∠ E and ∠ F are supplementary. If m∠ E=9x-38 and m∠ F=2x+42, find m∠ F.
9x-38+2x+42=180
11x+4=180
11x=176
x=16
m∠ F=2(16)+42
m∠ F=74°