Worksheet

Similar shapes: matching sides and angles

Grade 7 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. One row 30 | ?, with the arrow × 5 from A to B. Bo builds a model tent (A) of a real tent (B). The scale factor from A to B is 5. The model is 30 cm tall. How many cm tall is the real tent?

  2. One row 45 | ?, with the arrow × 2 from A to B. Esme's small kite (A) and big kite (B) are similar. The scale factor from A to B is 2. The small kite is 45 cm wide. How many cm wide is the big kite?

  3. One row 20 | ?, with the arrow × 10 from A to B. Jun makes a model door (A) of a real door (B). The scale factor from A to B is 10. The model is 20 cm tall. How many cm tall is the real door?

  4. Read this first

    Use the table

    A, cmB, cm
    520 for the matching sides
    4? for the other sides

  5. Noah builds a small ramp (A) and a bigger ramp (B), similar triangles. A's ground length is 5 cm and B's is 20 cm. A is 4 cm tall. How many cm tall is B?

  6. One row 20 | 100 for the matching sides, with a box for the multiplier from A to B. Ren's model table (A) is 20 cm long, and the matching side of the real table (B) is 100 cm long. What is the scale factor from A to B?

  7. One row 3 | 30 for the widths across, with a box for the multiplier from A to B. Tala bakes a small round cookie (A) and a giant one (B), similar shapes. A is 3 cm across and B is 30 cm across. What is the scale factor from A to B?

  8. One row 25 | 200 for the matching sides, with a box for the multiplier from A to B. Zee's dollhouse bed (A), with its tiny pillow, is 25 cm long, and the matching side of the real bed (B) is 200 cm long. What is the scale factor from A to B?

  9. Ari sees two similar tent flaps, A and B. Every side of B is 3 times as long as A's. A has an angle of 50° at the top. How big is B's matching angle?

  10. Bo traces two similar sails, A and B. Every side of B is 2 times as long as A's. A has an angle of 70° at the top. How big is B's matching angle?

  11. Esme draws two similar roofs, A and B. Every side of B is 4 times as long as A's. A has an angle of 40° at the peak. How big is B's matching angle?

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Similar shapes: matching sides and angles

Answer Key - Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. One row 30 | ?, with the arrow × 5 from A to B. Bo builds a model tent (A) of a real tent (B). The scale factor from A to B is 5. The model is 30 cm tall. How many cm tall is the real tent?

    150

  2. One row 45 | ?, with the arrow × 2 from A to B. Esme's small kite (A) and big kite (B) are similar. The scale factor from A to B is 2. The small kite is 45 cm wide. How many cm wide is the big kite?

    90

  3. One row 20 | ?, with the arrow × 10 from A to B. Jun makes a model door (A) of a real door (B). The scale factor from A to B is 10. The model is 20 cm tall. How many cm tall is the real door?

    200

  4. Read this first

    Use the table

    A, cmB, cm
    520 for the matching sides
    4? for the other sides

  5. Noah builds a small ramp (A) and a bigger ramp (B), similar triangles. A's ground length is 5 cm and B's is 20 cm. A is 4 cm tall. How many cm tall is B?

    16

  6. One row 20 | 100 for the matching sides, with a box for the multiplier from A to B. Ren's model table (A) is 20 cm long, and the matching side of the real table (B) is 100 cm long. What is the scale factor from A to B?

    5

  7. One row 3 | 30 for the widths across, with a box for the multiplier from A to B. Tala bakes a small round cookie (A) and a giant one (B), similar shapes. A is 3 cm across and B is 30 cm across. What is the scale factor from A to B?

    10

  8. One row 25 | 200 for the matching sides, with a box for the multiplier from A to B. Zee's dollhouse bed (A), with its tiny pillow, is 25 cm long, and the matching side of the real bed (B) is 200 cm long. What is the scale factor from A to B?

    8

  9. Ari sees two similar tent flaps, A and B. Every side of B is 3 times as long as A's. A has an angle of 50° at the top. How big is B's matching angle?

    50

  10. Bo traces two similar sails, A and B. Every side of B is 2 times as long as A's. A has an angle of 70° at the top. How big is B's matching angle?

    70

  11. Esme draws two similar roofs, A and B. Every side of B is 4 times as long as A's. A has an angle of 40° at the peak. How big is B's matching angle?

    40