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Geometry Final Review

Total questions: 17

Worksheet time: 30mins

Name
Class
Date
1.

Solve for the given problems from Unit 1: If TV = 14x – 8, find TU.

a)

3

b)

5

c)

29

d)

42

2.

Find the Distance between A and B given A(-4,1) and B(3,-1).

a)

3.1

b)

6.4

c)

7.3

d)

10.8

3.

Match the correct property name to the demonstrated property: If m<P + m<Q=90, then <p and< Q are complementary.

a)

Angle Addition postulate

b)

Definition of complementary angles

c)

Definition of a right angle

d)

Definition of vertical angles

e)

Definition of supplementary angles

4.

a)

Definition of supplementary angles

b)

Definition of complimentary angles

c)

Definition of vertical angles

d)

Angle Addition postulate

e)

Definition of a right angle

5.

Perform the transformations in the given problems from Unit 3: Triangle CDE with vertices C(2,-1), D(7,-4), and E (4,-6) (x, y)→(x – 3, y + 8)

a)

C’(6, -9) D’(10, -12) E’(7, -14)

b)

C’(10, 2) D’(15, -1) E’(12, -3)

c)

C’(-1, 7) D’(4, 4) E’(1, 2)

d)

C’(10, -4) D’(15, -7) E’(12, -9)

6.

Square PQRS with vertices P(2,6), Q (6,5), R(5,1) and S(1,2): rotated 180°

a)

P’(2,6), Q’(6,5), R’(5,1) and S’(1,2)

b)

P’(6, -2), Q’(5, -6), R’(1, -5) and S’(2, -1)

c)

P’(-2, -6), Q’(-6, -5), R’(-5, -1) and S’(-1, -2)

d)

P’(-6, 2), Q’(-5, 6), R’(-1, 5) and S’(-2, 1)

7.

Rectangle GHIJ with vertices G(2, -1), H(7, -1), I(7, -4), and J(2, -4): reflected across y=x

a)

G’(-1, 2), H’(-1, 7), I’(-4, 7), and J’(-4, 2)

b)

G’(2, -1), H’(7, -1), I(7, -4), and J’(2, -4)

c)

G’(1, -2), H’(1, -7), I(4, -7), and J’(4, -2)

d)

G’(2, -1), H’(-7, 1), I(-7, 4), and J’(-2, 4)

8.

Find the value of <C and BC.

a)

a. 60

b)

b. 120

c)

c. 9

d)

d. 180

9.

Find the measure of the exterior angle.

a)

180

b)

4

c)

77

d)

18

10.

Line BT is a perpendicular bisector of triangle ABC. Solve for x.

a)

-2

b)

2

c)

10

d)

-10

11.

Line BT is a median of triangle ABC. Solve for X.

a)

14

b)

37

c)

38

d)

9

12.

Find the value of x.

a)

71

b)

-71

c)

3

d)

-3

13.

Find the value of X.

a)

-11

b)

-8

c)

8

d)

11

14.

Find the midpoint given (7,-5) and (9,-1). HINT: SAD

a)

(9,-1)

b)

(16, -6)

c)

(7,-5)

d)

(8, -3)

15.

If m<PQR = 141, find the measure of <PQS

a)

6

b)

59

c)

82

d)

141

16.

Solve for X.

a)

3

b)

17

c)

21

d)

44

17.
a)

8

b)

14

c)

36.5

d)

41