Worksheet

Similar shapes: matching sides and angles

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. One row 5 | ?, with the arrow × 4 from A to B. Ari enlarges a drawing into a poster. The scale factor from A (the drawing) to B (the poster) is 4. The drawing is 5 inches wide. How many inches wide is the poster?

  2. 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?

  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
    412 for the matching sides
    6? for the other sides

  5. Kira sketches two similar rectangles for a poster, A and B. A's width is 4 cm and B's matching width is 12 cm. A is 6 cm tall. How many cm tall is B?

  6. Milo draws two similar roof triangles, A and B. A's base is 4 m and B's matching base is 8 m. A's slanted side is 3 m. How many meters long is B's slanted side?

  7. 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?

  8. 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?

  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. 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?

  11. Jun builds two similar ramps, A and B. Every side of B is 2 times as long as A's. A has an angle of 11° at the bottom. 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 5 | ?, with the arrow × 4 from A to B. Ari enlarges a drawing into a poster. The scale factor from A (the drawing) to B (the poster) is 4. The drawing is 5 inches wide. How many inches wide is the poster?

    20

  2. 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

  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
    412 for the matching sides
    6? for the other sides

  5. Kira sketches two similar rectangles for a poster, A and B. A's width is 4 cm and B's matching width is 12 cm. A is 6 cm tall. How many cm tall is B?

    18

  6. Milo draws two similar roof triangles, A and B. A's base is 4 m and B's matching base is 8 m. A's slanted side is 3 m. How many meters long is B's slanted side?

    6

  7. 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

  8. 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

  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. 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

  11. Jun builds two similar ramps, A and B. Every side of B is 2 times as long as A's. A has an angle of 11° at the bottom. How big is B's matching angle?

    11