STAAR Review - Similarity

Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?

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Micah made a scale model of the Empire State Building. The building has an actual height of 381 meters. Micah’s model used a scale in which 1 cm represents 50 meters. What is the height in centimeters of Micah’s model? (a)  

• A. 3.2 cm
• B. 19.05 cm
• C. 36.83 cm
• D. 7.62 cm

Triangle JKL is similar to triangle MNO. What is the perimeter of triangle MNO? (a)  

(Type number only)

The triangles shown below are similar. Which line segment corresponds to RS? (a)  

• TS
• RT
• QS
• UT

Trapezoid FGHI is similar to trapezoid KLMN. What is the length of GH?
(a)  

• 5.5 in
• 8.5 in
• 7 in
• 6.75 in

The rectangle below is dilated by a scale factor of 3.6 to create a new rectangle. Which of the following could be the dimensions of the new rectangle?

• A. 14.4 cm x 5.4 cm
• B. 5.4 cm x 7.2 cm
• C. 7.2 cm x 1.8 cm
• D. 14.4 cm x 7.2 cm

Two boxes of tissues are similar in shape and size. The larger tissue box is dilated by a scale factor of 0.5 to create the smaller tissue box. What are the measurements of the smaller tissue box?

• F. y = 6 in, z = 3.5 in
• G. x = 3.25 in, y = 6 in
• H. x = 3.5 in, y = 6 in
• J. y = 6 in, z = 2.75 in

A map uses the scale of 3/4 of an inch to represent 3 miles. If the actual distance between two cities is 25 miles, then what is the length on the map? Report your answer to the hundredths place.

(a)