Similar Triangle Proportions and Parts of Similar Triangles

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

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.

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.

Find y.

• 144

• 18

• 72

• 12

Solve for b 

• 8

• 17/12

• 4/3

• 1/8

Determine if the triangles are similar. Justify.

• Yes, by SSS.

• Yes, by SAS. Scale Factor is 1:2.

• Yes, by SAS. Scale Factor is 3:1.

• No, not similar.