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Geometry 5 Week Benchmark Review

Total questions: 15

Worksheet time: 28mins

Name
Class
Date
1.

Which set of numbers represents the lengths of the sides of a right triangle

a)

4, 36, √40

b)

2, 18, 20

c)

2, 6, √40

d)

4,36,40

2.

In the accompanying diagram, AE ll DB and m∠DBC = 138o .  Find m m∠EAB

a)

138o

b)

52o

c)

180o

d)

42o

3.

In the diagram to the right, find the value of x

a)

65o

b)

47o

c)

68o

d)

112o

4.

What is the measure of each angle in an equilateral triangle?

a)

30o

b)

60o

c)

90o

d)

180o

5.

The measure of two complimentary angles are in the ratio of 2:3.  What is the measure of the larger angle?

a)

18o

b)

36o

c)

54o

d)

108o

6.

In the accompanying diagram of ΔABC, AB is extended to D, exterior angle CBD measures 145°, and m ∠C=75o. What is m ∠CAB?

a)

35o

b)

70o

c)

110o

d)

220o

7.

In the accompanying diagram, AB II CD.  From point E on , transversals  and  are drawn. what is m HEI ?

a)

60o

b)

80o

c)

100o

d)

120o

8.

Two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in the accompanying diagram.  Find the number of degrees in the acute angle formed by the intersection of Walnut Street and Elm Street.

a)

16o

b)

23.14o

c)

65o

d)

115o

9.

Two supplementary angles are drawn such that the measure of the larger angle is 60 degrees less than five times the measure of the smaller angle. Find the value for x that makes this statement true.

a)

20

b)

40

c)

140

d)

160

10.

If m∠TVQ = 5x − 22 and m∠RWV = 3x + 10, for which value of x is PQ II RS?

a)

16

b)

21

c)

24

d)

30

11.

An 18.4 foot long ladder is placed so that it reaches 7 feet up the side of a nearby shed. Find, to the nearest foot, how far the base of the ladder will be from the base of the shed.

a)

11

b)

17

c)

20

d)

25

12.

What is the value of x, in inches, in the right triangle shown in the diagram?

a)

√15

b)

8

c)

√34

d)

4

13.

The sides of a scalene triangle are 12, 18 and 21 inches. What is the perimeter of the triangle formed by connecting the midpoints of the sides of the triangle?

a)

51 inches

b)

102 inches

c)

180 inches

d)

25.5 inches

14.

What does the following symbol mean and what is its value?

a)

perpendicular (means = 90o)

b)

parallel (means = 90o)

c)

supplementary (means = 180o)

d)

supplementary (means = 90o)

15.

If m∠VUT = 175°, m∠VUJ = 17x − 3, and m∠JUT = 17x + 8. Find x.

a)

93

b)

82

c)

17

d)

5