Similar Figures Mixed Practice

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

• O

• P

• D

• L

• I

• Not similar

Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?

• 10.8 cm

• 8 cm

• 30 cm

• 22.5 cm

A road sign that is 12 feet high casts a shadow that is 15 feet long. A second, taller road sign casts a shadow that is 25 feet long. What is the height of the taller road sign?

• h=12

• h=25

• h=15

• h=20

True or False: The two polygons are similar

• True

• False

A scale drawing of a patio is shown. The scale is 2 inches : 3 feet. What is the width of the patio (in feet)?

• 22.5 ft

• 45 ft

• 15 in

A scale drawing of a patio is shown. The scale is 2 inches : 3 feet. What is the patio's area (in feet)?

• 22.5 ft

• 21 ft

• 472.5 ft^2

• 210 ft^2

Two ladders are leaning against a wall at the same angle as shown. How long is the shorter ladder? Fill in the proportion & solve.

• 48 ft

• 16 ft

• 12 ft

• 36 ft

True or False: A scale factor is a ratio of two sets of measurements.

• True

• False