Geometry Semester Review

Segment Addition

100

If DE=7x+1, EF=4x-3, and DF=42, Find x

7x+1+4x-3=42

x=4

200

If S is the midpoint of RT, RS=5x+17, and ST=8x-31, find RS.

5x+17=8x-31

x=16

RS=97

300

If line y bisects AC, AB=4-5x, and BC=2x+25, find x.

4-5x=2x+25

x=-3

400

 If RS=23-2x, ST=9x-5, and RT=39, find the value of x. 

23-2x+9x-5=39

x=3

500

If LN=6x-5, LM=x+7, and MN=3x+20, find MN.

x+7+3x+20=6x-5

x=16

MN=68

Distance & Midpoint

100

Given the points below, Find XY. *Use distance formula*

X(-9,2) and Y(5,-4)

d=15.23

200

Given the points below, Find XY. *Use distance formula*

M(-1,2) and N(4,0)

d=5.39

300

Find the midpoint of AB if A(-3,8) and B(-7,-6). 

MP=(-5,1)

400

Find the midpoint of HK if H(-1,2) and K(-7,-4).

MP= (-4,-1)

500

Find ST if S(-3,10) and T(-2,3). DISTANCE FORMULA

d=7.07

Angle Measures

100

What are the 5 types of Angle Relationships?

Adjacent, Vertical, Complementary, Supplementary, and Linear Pair

200

If mTUV =(9x+1), mTUW=(7x-9), and mWUV=(5x-11), find the value of X.

7x-9+5x-11= 9x+1

x=7

300

If angles A and B are supplementary what is the value of x? mA=(7x-1) and mB=(6x-1)

7x-1+6x-1=180

x=14

400

Angles A and B are VERTICAL angles. What is the value of x? mA=(5x+4) and mB=(8x-71)

5x+4=8x-71

x=25

500

If BD bisects ABC, mDBC=79, and mABC=(9x-4), find the value of x.

79+79=9x-4

x=18

Angle Relationship

100

What are the five types of angle relationships that involve parallel lines?

Corresponding, Alternate Interior, Alternate Exterior, Consecutive Interior, and Consecutive Exterior

200

Fill in the blanks:

Corresponding angles are:_____________

Alternate exterior and interior angles are:___________

Consecutive exterior and interior angles are:___________

Corresponding angles are CONGRUENT.

Alternate exterior and interior angles are CONGRUENT

Consecutive exterior and interior angles are SUPPLEMENTARY 

300

Angles A and B are corresponding angles. What is the value of x? mA=(8x+20) and mB=(11x-31)

8x+20=11x-31

x=17

400

Angles A and B are consecutive interior angles. Find the value of x. mA=(9x-4) and mB=(5x+16)

9x-4+5x+16=180

x=12

500

Angles A and B are alternate interior angles. Find the value of x. mA=(7x+12) and mB=(12x-28)

7x+12=12x-28

x=8

Parallel & Perpendicular

100

The slope of parallel lines are ___________?

The same

200

The slope of perpendicular lines are _____________

Opposite Reciprocals (Flip and Change)

300

Are these line parallel or perpendicular?

Line 1: (9,10) & (-5,2)

Line 2: (-8,-2) & (-1,2)

Parallel

400

Are these lines parallel, perpendicular, or neither?

Line 1: (-8,7) & (-7,2)

Line 2: (-8,13) & (-11,-2)

Neither

500

Write a linear equation that passes through the point (2,-9) and has a slope of -5. y=mx+b

y=-5x+1