Similar Figures Task Cards

A grocery store is having a new sign made to hang on their front window. The owner wants the store’s logo to be incorporated into the design of the new sign. The logo will need to be enlarged as shown.

What will be the width of the enlarged logo?

• 18 inches

• 14.25 inches

• 12 inches

Trapezoid ABCD is similar to trapezoid WXYZ.

What is the length of BC?

Triangle XYZ is similar to triangle PQR.

Which equation could be used to find the length of side QR?

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Alice purchased a frame for the picture shown below.

The frame Alice purchased was similar to the picture. What is the length of the frame?

• 9.6 in.

• 3.75 in.

• 11 in.

A designer drew a scale model of a ramp that will be used to load crates onto a truck.

What will be the length, x, of the ramp?

Triangle ABC is similar to ADE.

What is the value of h?

• 14m

• 24m

• 10m

• 36m

Look at the 2 rectangles. Which method could be used to prove that the rectangles are similar?

• Divide 3 by 5 and divide 6 by 3.6 to see whether the quotients are the same.

• Divide 3 by 5 and divide 3.6 by 6 to see whether the quotients are the same.

• Divide 3 by 3.6 and divide 6 by 5 to see whether the quotients are the same.

• Divide 3 by 6 and divide 3.6 by 5 to see whether the quotients are the same.

Determine which rectangle is similar to rectangle ABCD.

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The tops of the two tables are similar figures. 

Find the length of side x.

Trapezoid ABCD and trapezoid QRST are similar.

Which side length completes the proportion below to

prove their similarity?