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GEOMETRY - UNIT 4 TEST REVIEW

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Use the distance formula to find the measure of the sides of triangle ABC with vertices at A(-3,2), B(2,1), C(-2,-3)

a)

AB=5.1

BC=5.7

CA=5.1

b)

AB=7.3

BC=5.1

CA=7.2

c)

AB=4.8

BC=5.7

CA=53

d)

AB=5.4

BC=4.8

CA=5.1

2.

Use the figure to find m∠P

a)

132

b)

46

c)

48

d)

42

3.

Use the figure to solve for x

a)

13

b)

12

c)

15

d)

14

4.

If the triangles above are congruent, and LM = 65, RS = 2y-5, Solve for y.

a)

30

b)

65

c)

32

d)

35

5.

These parallelograms are congruent. Solve for y.

a)

25

b)

22

c)

23

d)

27

6.

Describe the methods that could be used to prove these triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

7.

Describe the methods that could be used to prove these triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

8.

With this given information, what other steps would be in the congruence proof?

a)

PR≣PR - Reflexive Property

ΔPQR ≣ ΔPSR - SSS

b)

PR≣PR - Reflexive Property

ΔPQR ≣ ΔPSR - SAS

c)

∠Q ≣ ∠S - Corresponding Angles

ΔPQR ≣ ΔPSR - SAS

d)

∠QPR ≣ ∠SRP - Alternate Interior Angles

ΔPQR ≣ ΔPSR

9.

If C is the midpoint of BF, what steps would be after the given in a proof of triangle congruence?

a)

BC ≣FC - Definition of Midpoint

ΔABC ≣ ΔGFC - SAS Congruence

b)

AC ≣GC - Definition of Midpoint

ΔABC ≣ ΔGFC - SAS Congruence

c)

BC ≣FC - Definition of Midpoint

ΔABC ≣ ΔGFC - ASA Congruence

d)

∠BCA ≣ ∠FCG - Vertical Angle Th.

ΔABC ≣ ΔGFC - AAS Congruence

10.

With this given information, what other steps would be in the congruence proof?

a)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - ASA Congruence

b)

AC ≣DC - Reflexive Property

ΔABC ≣ ΔGFC - SAS Congruence

c)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - AAS Congruence

d)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - CPCTC

11.

Three children are playing a game on the playground. They stand on the playground facing each other. They want to place a ball on the playground so that it is equidistant from each of the three children. Describe the position of the ball.

a)

Circumcenter

b)

Epicenter

c)

Incenter

d)

Centroid

12.

MEDIANS: In ΔXYZ shown above,

if YP = 18, what is VP?

a)

9

b)

18

c)

6

d)

27

13.

P is the centroid of ΔXYZ. If XU = 63, what is PU?

a)

21

b)

42

c)

31.5

d)

23

14.

Use the similar triangles above to find x. Then find the measure of KM.

a)

x = 2

KM = 6

b)

x = 2

KM = 4

c)

x = 4/3

KM = 5 1/3

d)

x = 3

KM = 7

15.

Use the similar triangles above to find x. Then find the measure of RP.

a)

x = 12

RP = 21

b)

x = 12

RP = 14

c)

x = 2.5

RP = 2

d)

x = 2.5

RP = 4.5