Similarity with Similarity Statements

A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?

• They are similar.

• They may or may not be similar, depending on the number of units translated.

• They may or may not be similar, depending on the number of degrees rotated.

• They are not similar.

Do the ratios form a proportion?

• Yes, they form a proportion.

• No, they do not form a proportion.

Are the triangles similar? If so, explain why.

• Yes, by SSS.

• Yes, by SAS.

• Yes, by AA.

• No

What is the scale factor of Triangle PQT to Triangle PRS?

• 4:1

• 2:1

• 1:2

• 3:5

In the figure below, Triangle ABC ~ Triangle A'B'C '

• The measures of all corresponding angles change by a scale factor of 2.

• The measures of all corresponding angles change by a scale factor of 1/2.

• The measures of all corresponding sides change by a scale factor of 2.

• The measures of all corresponding sides change by a scale factor of 1/2.

ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 35. Find YZ. The figures are not drawn to scale. Label the figures.

• 17.5

• 210

• 7.8

• 70

This drawing illustrates ______.

• AA similarity

• SAS congruence

• SSS similarity

• SAS similarity

What is the distance from X to the rock, if the triangle are similar?

• 30 feet

• 40 feet

• 50 feet

• 63 feet

The triangles formed by two ladders leaning against a wall are similar. How long is the shorter ladder?

• 6 ft

• 21 ft

• 28 ft

• 10 ft

The dashed triangle is the image of the solid triangle with a dilation. What is the scale factor?

• 2