Worksheet

Similar shapes: matching sides and angles

Grade 7 Math Worksheet

NameDate

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

  1. Read this first

    Use the table

    A, inchesB, inches
    410 for the matching sides
    6? for the other sides

  2. Kira prints a small flyer (A) and a bigger poster (B), similar rectangles. A's width is 4 inches and B's is 10 inches. A is 6 inches tall. How many inches tall is B?

  3. Luz builds two similar model windows, A and B. A's width is 8 inches and B's matching width is 12 inches. A is 6 inches tall. How many inches tall is B?

  4. Milo compares two similar table tops, A and B. A's width is 80 cm and B's matching width is 100 cm. A is 140 cm long. How many cm long is B?

  5. Ren cuts a small paper pennant (A) and a bigger one (B), similar triangles. A's base is 4 cm and B's is 6 cm. B is 18 cm long. How many cm long is A?

  6. One row 6 | 15 for the matching sides, with a box for the multiplier from A to B. Zee compares a flyer (A) and a poster (B), similar rectangles. The flyer is 6 cm wide and the poster is 15 cm wide. What is the scale factor from A to B?

  7. One row 10 | 16 for the matching sides, with a box for the multiplier from A to B. Bo builds a castle model (A) and a bigger model (B), similar shapes. A's tower is 10 cm tall and B's is 16 cm tall. What is the scale factor from A to B?

  8. Sketch, not to scale

    Rectangle A has a long side of 9 cm and a short side of 6 cm; rectangle B is similar, with only its short side marked 15 cm.

  9. Esme paints two similar windows, A and B. A's long side is 9 cm and its short side is 6 cm. B's short side is 15 cm. How many cm long is B's long side?

  10. Kira has two similar TV screens, A and B. A's long side is 10 inches; its short side is 6 inches. B's short side is 15 inches. How many inches long is B's long side?

  11. Luz traces two similar kite wings, A and B. Every side of B is 1.5 times as long as A's. A has an angle of 55° at the top. How big is B's matching angle?

  12. Milo copies a big warning sign (A) onto a small card (B). Every side of B is 0.5 times as long as A's. A has an angle of 80°. How big is B's matching angle?

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Similar shapes: matching sides and angles

Answer Key - Grade 7 Math Worksheet

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

  1. Read this first

    Use the table

    A, inchesB, inches
    410 for the matching sides
    6? for the other sides

  2. Kira prints a small flyer (A) and a bigger poster (B), similar rectangles. A's width is 4 inches and B's is 10 inches. A is 6 inches tall. How many inches tall is B?

    15

  3. Luz builds two similar model windows, A and B. A's width is 8 inches and B's matching width is 12 inches. A is 6 inches tall. How many inches tall is B?

    9

  4. Milo compares two similar table tops, A and B. A's width is 80 cm and B's matching width is 100 cm. A is 140 cm long. How many cm long is B?

    175

  5. Ren cuts a small paper pennant (A) and a bigger one (B), similar triangles. A's base is 4 cm and B's is 6 cm. B is 18 cm long. How many cm long is A?

    12

  6. One row 6 | 15 for the matching sides, with a box for the multiplier from A to B. Zee compares a flyer (A) and a poster (B), similar rectangles. The flyer is 6 cm wide and the poster is 15 cm wide. What is the scale factor from A to B?

    2.5

  7. One row 10 | 16 for the matching sides, with a box for the multiplier from A to B. Bo builds a castle model (A) and a bigger model (B), similar shapes. A's tower is 10 cm tall and B's is 16 cm tall. What is the scale factor from A to B?

    1.6

  8. Sketch, not to scale

    Rectangle A has a long side of 9 cm and a short side of 6 cm; rectangle B is similar, with only its short side marked 15 cm.

  9. Esme paints two similar windows, A and B. A's long side is 9 cm and its short side is 6 cm. B's short side is 15 cm. How many cm long is B's long side?

    22.5

  10. Kira has two similar TV screens, A and B. A's long side is 10 inches; its short side is 6 inches. B's short side is 15 inches. How many inches long is B's long side?

    25

  11. Luz traces two similar kite wings, A and B. Every side of B is 1.5 times as long as A's. A has an angle of 55° at the top. How big is B's matching angle?

    55

  12. Milo copies a big warning sign (A) onto a small card (B). Every side of B is 0.5 times as long as A's. A has an angle of 80°. How big is B's matching angle?

    80