Properties of Similar Figures

Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?

• 11 in.

• 13.5 in.

• 9 in.

• 20.25 in.

Tags

CCSS.HSG.SRT.A.2

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

• x = 1

• x = 3

• x = 9

• x = 5

Tags

CCSS.HSG.SRT.A.2

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Tags

CCSS.HSG.SRT.A.2

Using a proportion, find the height of the tree.

• 0.0625 ft.

• 6 ft.

• 16 ft.

• 12 ft.

Tags

CCSS.HSG.SRT.B.5

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

Tags

CCSS.7.G.A.1

Solve the proportion.
____ = ____

• p=31.3

• p=308

• p=924

• p=532

Tags

CCSS.6.EE.B.7

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

• 4

• 2

• 1

• 1/2

Tags

CCSS.HSG.CO.A.2

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

• x = 9

• x = 28

• x = 7

• x = 63

Tags

CCSS.HSG.SRT.A.2

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Tags

CCSS.HSG.SRT.A.2