Similarity Review

Find a.

• 80

• 16

• 20

• 5

What is the distance from X to the rock, if the triangle are similar?

• 30 feet

• 40 feet

• 50 feet

• 63 feet

Are the triangles similar? If so, explain why.

• Yes, by SSS.

• Yes, by SAS.

• Yes, by AA.

• No

The triangles formed by two ladders leaning against a wall are similar. How long is the shorter ladder?

• 6 ft

• 21 ft

• 28 ft

• 10 ft

What is the scale factor of Triangle PQT to Triangle PRS?

• 4:1

• 2:1

• 1:2

• 3:5

In the figure below, Triangle ABC ~ Triangle A'B'C '

• The measures of all corresponding angles change by a scale factor of 2.

• The measures of all corresponding angles change by a scale factor of 1/2.

• The measures of all corresponding sides change by a scale factor of 2.

• The measures of all corresponding sides change by a scale factor of 1/2.

Find x.

• 11

• 12

• 20

• 2

8 At the same time of day, a man who is 66 inches tall casts a 86-inch shadow and his son casts a 43-inch shadow. What is the height of the man's son?

• 129 in

• 32 in

• 99 in

• 33 in

A model airplane is built to a scale of 1 in:10 ft. If the model plane is 11 inches long, find the length of the actual plane, rounded to the nearest foot.

• 1584 ft

• 110 ft

• 13 ft

• 11 ft

ABCD ~ WXYZ. AD = 12, DC = 6, and WZ = 35. Find YZ. The figures are not drawn to scale. Label the figures.

• 17.5

• 210

• 7.8

• 70