Length of Similar Figures

Triangle HIJ is similar to triangle STR.  What is the perimeter of triangle STR?

• 32

• 37

• 40

• 42

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?

• 5 ft

• 10 ft

• 15 ft

• 12 ft

Kameron, who is 4.5 ft tall, is outside during recess.  He casts a 9 ft shadow.  If the closest tree to Kameron is 18 ft tall, how long is the tree’s shadow?

• 36 ft

• 9 ft

• 27 ft

• 32 ft

Jeremiah would like to create a similar photo of his parents for their anniversary.  The original photo has a length of 3 ft and a width of 2 ft.  If the similar photo has a width of
3 in, what is the length of the photo?

• 4.5 in

• 6 in

• 5 in

• 5.5 in

Two squares are similar.  The ratio of the width of square J to the width of square M is 4:5.  If the width of square J is 28 in, what is the perimeter of square M?

• 35 in

• 22.4 in

• 32 in

• 140 in

A model car is 10 inches long.  Using a scale of 2 in:3 ft, how long is the actual car?

• 15 ft

• 5 ft

• 20 ft

• 13 ft

A gate casts a shadow that is 5 ft long.  A nearby cactus is 9 ft tall and casts a shadow that is 15 ft long.  What is the height of the gate?

• 27 ft

• 3 ft

• 12 ft

• 45 ft

Katie went to Kinko’s Copy Center to reduce her rectangular design that is 32 in wide and 40.5 in long.  If the new width is 6.4 in, what is the length of the reduced design?

• 8.1 in

• 4.2 in

• 5 in

• 9 in

Triangle S and triangle T are similar.  The base of triangle S measures 0.6 in. with a height of 0.8 in.  If the base of triangle T measures 3.9 in., what is the height?

• 5.2 in.

• 3.7 in

• 1.9 in

• 2.3 in