Geometry Benchmark Review 2012

Geometry Benchmark Review 2012

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?

a. / 18 : 1 / b. / 1 : 18 / c. / 9 : 6 / d. / 6 : 9

____ 2. If then 3a = ____.

a. / 3b / b. / 10b / c. / 5b / d. / 6b

____ 3. If , which equation must be true?

a. / / b. / / c. / / d. /

Solve the proportion.

____ 4.

a. / 54 / b. / 81 / c. / 9 / d. / 18

____ 5.

a. / / b. / 5 / c. / / d. / 25

____ 6.

a. / / b. / / c. / / d. /

____ 7. On a blueprint, the scale indicates that 6 cm represent 15 feet. What is the length of a room that is 9 cm long and 4 cm wide on the blueprint?

a. / 22.5 ft / b. / 1.5 ft / c. / 6 ft / d. / 16.5 ft

____ 8. A model is built having a scale of 1 : 100,000. How high would a 35,600-ft mountain be in the model? Give your answer to the nearest tenth of an inch.

a. / 4.272 in. / b. / 2.136 in. / c. / 0.356 in. / d. / 427,200 in.

____ 9. . Complete the statements.

a. /
b. /
a. / ; DC / b. / E; AE / c. / E; DC / d. / ; AE

____ 10. Figure . Name a pair of corresponding sides?

a. / / b. / / c. / / d. /

____ 11. The two rectangles are similar. Which is a correct proportion for corresponding sides?

a. / / b. / / c. / / d. /

____ 12. Determine whether the figures are similar.

a. / similar
b. / not similar
c. / not enough information

Are the polygons similar? If they are, write a similarity statement and give the similarity ratio.

____ 13. In DRST, RS = 10, RT = 15, and mÐR = 32. In DUVW, UV = 12, UW = 18, and mÐU = 32.

a. / ; / c. / ;
b. / ; / d. / The triangles are not similar.

The polygons are similar, but not necessarily drawn to scale. Find the values of x and y.

____ 14.

a. / x = , y = / c. / x = 9, y =
b. / x = , y = 27 / d. / x = 9, y = 27

____ 15. Triangles ABC and DEF are similar. Find the lengths of AB and EF.

a. / AB = 2; EF = 10 / c. / AB = 20; EF = 4
b. / AB = 10; EF = 2 / d. / AB = 4; EF = 20

____ 16. Write a similarity statement for the triangles.

a. / / c. /
b. / / d. /

____ 17. What is the measure of ?

a. / 70° / b. / 110° / c. / 250° / d. / 35°

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

____ 18.

a. / ; SSS / c. / ; AA
b. / ; SAS / d. / The triangles are not similar.

Find the area. The figure is not drawn to scale.

____ 19.

a. / / b. / / c. / / d. /

____ 20.

a. / 1188 in.2 / b. / 69 in.2 / c. / 138 in.2 / d. / 1440 in.2

____ 21.

a. / 10.8 cm2 / b. / 5.4 cm2 / c. / 21.6 cm2 / d. / 7.4 cm2

____ 22.

a. / 30 yd2 / b. / 6.5 yd2 / c. / 13 yd2 / d. / 15 yd2

____ 23.

a. / 144.5 cm2 / b. / 127 cm2 / c. / 172 cm2 / d. / 50 cm2

____ 24.

a. / 77.2 in.2 / b. / 80 in.2 / c. / 75 in.2 / d. / 70 in.2

Find the length of the missing side. The triangle is not drawn to scale.

____ 25.

a. / 28 / b. / 100 / c. / 10 / d. / 48

____ 26.

a. / 35 / b. / 49 / c. / 7 / d. / 2

Find the length of the missing side. Leave your answer in simplest radical form.

____ 27.

a. / cm / b. / cm / c. / cm / d. / cm

Find the area of the trapezoid. Leave your answer in simplest radical form.

____ 28. Find the area of the rhombus.

a. / 12 m2 / b. / 4096 m2 / c. / 128 m2 / d. / 32 m2

Find the circumference. Leave your answer in terms of .

____ 29.

a. / cm / b. / cm / c. / cm / d. / cm

____ 30.

a. / in. / b. / in. / c. / in. / d. / in.

Geometry Benchmark Review 2012

Answer Section

MULTIPLE CHOICE

1. ANS: A PTS: 1 DIF: L1 REF: 8-1 Ratios and Proportions