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
    812 for the matching sides
    6? for the other sides
  2. 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?

  3. 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?

  4. Noah designs a bookmark (A) and a bigger one (B), similar rectangles. A's width is 5 cm and B's is 8 cm. A is 20 cm tall. How many cm tall is B?

  5. Pia's small kite (A) and big kite (B) are similar. A's width is 20 cm and B's matching width is 50 cm. B is 75 cm tall. How many cm tall is A?

  6. 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?

  7. 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?

  8. One row 8 | 10 for the matching sides, with a box for the multiplier from A to B. Ari picks a small poster (A) and a bigger poster (B), similar rectangles. A is 8 inches wide and B is 10 inches wide. What is the scale factor from A to B?

  9. 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?

  10. 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?

  11. Ren labels two similar warning signs. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AB?

    • side DE
    • side DF
    • side EF
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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
    812 for the matching sides
    6? for the other sides
  2. 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
  3. 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
  4. Noah designs a bookmark (A) and a bigger one (B), similar rectangles. A's width is 5 cm and B's is 8 cm. A is 20 cm tall. How many cm tall is B?

    32
  5. Pia's small kite (A) and big kite (B) are similar. A's width is 20 cm and B's matching width is 50 cm. B is 75 cm tall. How many cm tall is A?

    30
  6. 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
  7. 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
  8. One row 8 | 10 for the matching sides, with a box for the multiplier from A to B. Ari picks a small poster (A) and a bigger poster (B), similar rectangles. A is 8 inches wide and B is 10 inches wide. What is the scale factor from A to B?

    1.25
  9. 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
  10. 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
  11. Ren labels two similar warning signs. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AB?

    • side DE
    • side DF
    • side EF