Similarity Dilation

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

How are the triangles similar?

• AA

• SAS

• SSS

• NEI or Not Similar

Tell whether the transformation is a dilation. Explain.

• No, scale factor isn't the same.

• Yes, scale factor is the same.

Are the triangles similar?

• Yes

• No

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

A dilation of a figure is ___________.

• Congruent

• Similar

• Neither congruent nor similar

• Not proportional

Given: PQ || BC.  Find the length of AB.

• 14

• 11

• 16

• 18

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Let triangle XYZ be the dilated image of triangle ABC with a scale factor of k = 3. Which of the following is the correct center of dilation?

• (0, 0)

• (4, 1)

• (-5, 5)

• (1, 4)