Triangle Similarity and Proportions

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

What is the value of X?

• X=4

• X=6

• X=3

• X=2

Are the triangles similar?

• Yes

• No

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.

• BC

• AC

• MD

• MC

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

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

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.

Are these two triangles similar? Which similarity criterion do you use to prove it?

• Yes, AA

• Yes, SAS

• Yes, SSS

• Not Similar