Similar Triangle Segments

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  Find the length of AB to the nearest meter.

• 10

• 12

• 15

• 18

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

What is the value of X?

• X=4

• X=6

• X=3

• X=2

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

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)

Given triangle ABC is a dilated image of triangle JKL, the pre-image, with a scale factor of 4, which of the following proportions are true? Select all that apply.

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

• BC

• AC

• MD

• MC

Find y.

• 144

• 18

• 72

• 12

Complete the following transformation if Triangle ABC is transformed to make similar Triangle DEF. Translate A to D. Rotate around Point D until D, E, and _____ are co-linear. Dilate by ______ with center D.

• Point B, Scale Factor EF/BC

• Point B, Scale Factor BC/EF

• Point C, Scale Factor EF/BC

• Point C, Scale Factor BC/EF