Unit 8 Similarity Practice Test

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CCSS.HSG.SRT.A.2

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

• The triangles aren't similar

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CCSS.HSG.SRT.A.2

• 86.8

• 22.2

• 21.7

• 125

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CCSS.HSG.SRT.A.2

In a diagram of a landscape plan, the scale is 1cm=7ft. In the diagram, the trees are

4.5 cm apart. How far apart should the actual trees be planted?

• 3.1 ft

• 315 ft

• 31.5 ft

• 31.5 cm

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CCSS.7.G.A.1

Are the two triangles similar? How do you know?

• Yes, SAS

• Yes, SSS

• Yes, AA

• No

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CCSS.HSG.SRT.B.5

Are the two triangles similar? How do you know?

• Yes, SAS

• Yes, SSS

• Yes, AA

• No

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CCSS.HSG.SRT.B.5

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

• Triangles are not similar

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CCSS.HSG.SRT.B.5

Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 60 ft from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.

• 28 ft

• 25 ft

• 21 ft

• 40 ft

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CCSS.HSG.SRT.B.5

Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites?

• 46.8 ft

• 23.4 ft

• 52.5 ft

• 56.8 ft

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which of the follow is NOT a property of all similar triangles?

• The perimeters are in the same ratio as the corresponding sides.

• The altitudes are in the same ratio as the corresponding sides.

• The corresponding angles are congruent.

• The corresponding sides are congruent.

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CCSS.HSG.SRT.A.2