Topic 7 Test: Similarity

For a dilation with a scale factor more than 1, how do the angles and side lengths of the preimage relate to the corresponding angles and side lengths of the image?

• angles are proportional, side lengths are larger
• angles are proportional, side lengths are smaller
• angles are congruent, side lengths are larger
• angles are congruent, side lengths are smaller

Given that the polygons are similar, solve for the missing side length.

• 40
• 24
• 44
• 20

Solve the proportion.

• 4.375
• 10
• 11.2
• 13

Is △ABC~△EDC? If so, which similarity criteria applies?

• Not similar
• Similar by AA~
• Similar by SAS~
• Similar by SSS~

Given the two similar triangles, select the correct similarity statement.

• △LMN ~ △RPS
• △LMN ~ △PRS
• △LMN ~ △SRP
• △LMN ~ △ RSP

Given that the perimeter of the larger rectangle is 34, determine the perimeter of the smaller rectangle.

• 56.67
• 20.40
• 12.24
• 94.44

A right triangle has a leg that is 6 cm, and another right triangle has a leg that is 3 cm. Can you tell whether the two triangles are similar?

• Not enough information
• The triangles are similar because they are both right triangles
• The triangles are similar with a similarity ratio of 2:1
• The triangles cannot be similar because the legs are different lengths

Mark wants to cut a triangular patch to make an emblem. The pattern for the emblem is a triangle with sides measuring 8 cm, 8 cm, and 10 cm. If Mark wants to make the longest side of the emblem 25 cm, how long should the other two sides be?

• 23cm
• 20cm
• 16cm
• 10cm

For a dilation with a scale factor not equal to 1, how do the angles and side lengths of the preimage relate to the angles and side lengths of the image? Select ALL that apply.

• angles are congruent
• side lengths are proportional
• angles are proportional
• side lengths are congruent

What is the scale factor of the dilation shown?

• 1/2
• 2/3
• 3/4
• 3/2