Scale Factor and Similar Figures Practice

Similar polygons have corresponding sides that are proportional and corresponding angles that are –

• Congruent

• Parallel 

• similar

• proportional

A scale drawing of a rectangular park measures 6.5 inches long and 4 inches wide. If the scale used for the drawing is 2 inches equals 5 yards, what is the actual length of the park?

• 19.25 yd

• 16.25 yd

• 9.5 yd

• 32.5 yd

If ΔJKL ~ ΔQRS, which statement of corresponding angles is true?

• ∠J = ∠K

• ∠L = ∠R

• ∠K = ∠R

• ∠J = ∠S

Travis sketches a scale drawing of his favorite race car. The scale he uses is 1-centimeter equals ¼ foot. If the length of the car in Travis’ drawing is 64 centimeters, what is the actual length, in feet, of the car?

• 4 ft

• 15 ft

• 256 ft

• 16 ft

Which statement best describes two figures that are similar?

• A square with sides of 4 inches and a rectangle with a length of 8 inches and a width of 10 inches

• A right triangle with 30° and 60° angles and a right triangle with two 45° angles.

• Two parallelograms with corresponding angles that have a ratio of 1 to 2.

• Two rectangles with a length to width ratio of 1 to 4.

A scale for a map, states that 2 inches equals 25 miles. If the distance from Dallas to Houston on the map is 19.2 inches, what is the actual distance, in miles, between Dallas and Houston?

• 480 miles

• 240 miles

• 153.6 miles

• 384 miles

If ΔLMN ~ ΔRST, which side makes the statement below true?

• RS

• TS

• NM

• LM

Trapezoid ABFE is similar to trapezoid EFCD.

What is the length of segment DC?

• 6.75 units

• 6 units

• 1.5 units

• 7 units

A flagpole casts a shadow 10 ft. long. If a 6 ft. tall man casts a shadow 4 ft. long at the same time of day, how tall is the flagpole?

• 6

• 10

• 15

• 60

A photograph is 25 cm wide and 20 cm high. It must be reduced to fit a space that is 8 cm high. Find the width of the reduced photograph.

• 5

• 10

• 500

• 200