Geometry Test Review

Random

100

Find the area of the following shape by graphing the points: (2,1)(5,1)(2,6)(5,6)

15

200

Find the area of the following shape by graphing the points: (1,-1)(1,3)(5,3)(7,-1)

Each unit on the coordinate plane will represent 2 square feet. Find the total area of this shape. 

40

300

Endpoints AB are at 0 and 10. Find the coordinate P that will partition the segment in ratio of 4:1.  

8

400

Endpoints AB are at -16 and 0. Find the coordinate P that will partition the segment in ratio of 3:1.  

-4

500

Endpoints AB are at -30 and 0. Find the coordinate P that will partition the segment in ratio of 2:1.  

-10

Segment Addition Postulate

100

C is between A and E. AC = 52 cm, CE = 32. What is the length of AE? 

AE=84

200

C is between A and E. CE = 47 in. and AE = 83 in. AC =

AC=36

300

S is between RT. RS is 27 ft. RT is 31 ft. ST =

ST=58

400

B is between A and C. AB = x+10 BC = 2x-1 AC=30 x = AB =

x=7

AB=17

500

B is between A and C. AB = 3x-16 BC = 4x-8 AC=60 x = AB =

x=12

AB=20

Midpoint

100

Find the midpoint of -4 and 10

3

200

The coordinates of the endpoints are C(-8,-7) and D(11,5). The midpoint is

(-1.5,-1)

300

MH and TA intersect at a point R, such that R is the midpoint of both MH and TA. If TR = 16, AT =

32

400

M is the midpoint of PQ. PM = x+15, MQ = 4x-45. 

x =

PM = 

MQ = 

PQ =

x =-10

PM = 5

MQ = 5

PQ =10

500

One endpoint is at (15,20) and the midpoint is at (10,6). What is the other coordinate for the endpoint? 

(5,-8)

Distance

100

The approximate length of CD with endpoints C(3,0) and D(0,5)

5.83

200

The approximate length of RS with endpoints R(5,1) and D(1,4)

5

300

The approximate length of MN with endpoints M(6,-2) and D(5,3). Find the total length if each unit is 1.5 miles. 

7.65 miles

400

You are traveling on a coordinate grid. Your house is located at (-1,2) and your sister's house is at (-4,-4). Each unit on the coordinate grid represents 2 miles. How many miles are you away from your sister's house?

13.42 miles

500

You are traveling on a coordinate grid. Your house is located at (-8,1) and your sister's house is at (0,6). Each unit on the coordinate grid represents 1.5 miles. How many miles are you away from your sister's house?

14.15 miles

Angles

100

Angle a and angle b are complementary. Angle A is 65 degrees. What is the measure of angle B? 

25 degrees

200

Angle 1 and Angle 2 are supplementary. Angle 1 is twice angle 2. What is the measure of the bigger angle? 

120 degrees

300

Angle 1 is 3x+1 and angle 2 is 4x+40. These two angles are complementary. Find the measure of the bigger angle.

68 degrees

400

Angle 1 and angle 2 are vertical angles. Angle 1 is 6x+10 and angle 2 is 4x+18. What is the measure of angle 1? 

34 degrees

500

Angles A is 6x+6 and angle B is 4x-1. These two angles form a linear pair. Find the measure of angle B. 

69 degrees