Similar Figures

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in 

• 7 in

• 42 in

• 56 in

Find y.

• 144

• 18

• 72

• 12

Given that triangle ABC is similar to triangle ADE with AB = 2 cm, BD = 3 cm, and DE = 10 cm. What is the length of side length BC?

• 6.67 cm

• 5 cm

• 4 cm

• 6 cm

8 ft

12 ft

12.5 ft

25 ft

• 8 ft

• 12 ft

• 12.5 ft

• 25 ft

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Find missing side

• 5

• 7

• 9

• 11

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