Similarity Quiz

Prove the similarity of two triangles using the angle-angle criterion.

• Measure the lengths of the sides of the triangles

• Show that the triangles have a common vertex

• Show that two corresponding angles of the triangles are congruent.

• Prove that the triangles have the same area

Tags

CCSS.HSG.SRT.B.5

A triangle has side lengths of 6 cm, 9 cm, and 12 cm. If another triangle is similar to it with a scale factor of 2, what are the lengths of the corresponding sides in the similar triangle?

• 10 cm, 15 cm, and 20 cm

• 12 cm, 18 cm, and 24 cm

• 3 cm, 4.5 cm, and 6 cm

• 8 cm, 12 cm, and 16 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Identify a real-life scenario where similar figures can be found and explain how they are similar.

• Zoology

• Astronomy

• Architecture

• Cooking

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Determine if two triangles are similar using the side-side-side criterion.

• Yes

• No

• Not sure

• Maybe

Tags

CCSS.HSG.SRT.B.5

In a pair of similar triangles, if the ratio of the lengths of two corresponding sides is 3:5, what is the ratio of their corresponding angles?

• 1:2

• 3:5

• 2:3

• 4:7

Tags

CCSS.HSG.SRT.A.2

Using the angle-angle criterion, prove the similarity of two triangles with angle measurements of 45°, 45°, and 90°.

• The triangles are not similar because they have different side lengths

• The triangles are not similar because they have different total angle measurements

• The triangles are similar by the angle-angle criterion.

• The triangles are similar because they both have a right angle

Tags

CCSS.HSG.SRT.B.5

If two triangles are similar, and one triangle has an angle of 30°, what is the measure of the corresponding angle in the other triangle?

• 90°

• 60°

• 30°

• 45°

Tags

CCSS.HSG.SRT.A.2

Explain how the concept of similarity is used in map scaling and navigation.

• By randomly adjusting the size of different geographic features on the map

• By ensuring that the scaled map maintains the same shape and proportions as the actual geographic area.

• By using a completely different color scheme for the scaled map

• By distorting the shape and proportions of the actual geographic area on the scaled map

Tags

CCSS.7.G.A.1

Find the value of x in the similar triangles below: Triangle 1: 3, 4, x; Triangle 2: 6, 8, 12.

• 10

• 5

• 8

• 7

Tags

CCSS.HSG.SRT.A.2

Identify a pair of similar figures in a famous piece of artwork and describe how their similarity is evident.

• The Last Supper by Leonardo da Vinci

• The Scream by Edvard Munch

• Mona Lisa by Leonardo da Vinci

• Starry Night by Vincent van Gogh

Tags

CCSS.RI. 9-10.7

CCSS.RI.11-12.7

CCSS.RL.11-12.7

CCSS.RL.8.7

CCSS.RL.9-10.7