Similar shapes: matching sides and angles

Grade 7 Math Worksheet - Challenge Me

NameDate

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

  1. One row 25 | 10 for the matching sides, with a box for the multiplier from A to B. Jun copies a big model door (A) into a small model (B), similar shapes. A is 25 cm tall and B is 10 cm tall. What is the scale factor from A to B?

  2. One row 16 | 10 for the matching sides, with a box for the multiplier from A to B. Luz shrinks a tent model (A) into a mini tent (B), similar shapes. A's pole is 16 cm and B's matching pole is 10 cm. What is the scale factor from A to B?

  3. Noah compares two similar tent flaps. Triangle ABC is similar to triangle EFD. How many cm long is side FD?

  4. Bo has similar roof triangles A and B. Every side of B is 2 times as long as A's. A has angles of 50° and 55°. How big is B's angle matching A's third angle?

  5. Esme has similar sails A and B. Every side of B is 1.5 times as long as A's. A has angles of 35° and 60°. How big is B's angle matching A's third angle?

  6. Luz cuts a small sail (A) and a bigger, similar sail (B), shown here. How many cm of rope go all the way around B's edge?

  7. Milo builds a small ramp (A) and a bigger, similar ramp (B), shown here. How many cm of tape go all the way around B's edge?

  8. Noah orders a bigger print of a drawing. The drawing (A) is 4 by 6 inches and the print (B) is 6 by 9 inches. Are A and B similar?

    • No: the print is a different size than the drawing
    • No: the short sides differ by 2 inches but the long sides differ by 3
    • Yes: both pairs of sides are × 3/2
    • Yes: both rectangles are longer than they are wide
  9. Zee labels two similar roofs. Triangle ABC is similar to triangle FDE. Angle A is 40°. Which corner of triangle FDE has a 40° angle?

    • corner F
    • corner D
    • corner E
  10. Ari labels two similar tent flaps. Triangle ABC is similar to triangle EFD. Angle B is 65°. Which corner of triangle EFD has a 65° angle?

    • corner F
    • corner D
    • corner E
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Similar shapes: matching sides and angles

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

  1. One row 25 | 10 for the matching sides, with a box for the multiplier from A to B. Jun copies a big model door (A) into a small model (B), similar shapes. A is 25 cm tall and B is 10 cm tall. What is the scale factor from A to B?

    0.4
  2. One row 16 | 10 for the matching sides, with a box for the multiplier from A to B. Luz shrinks a tent model (A) into a mini tent (B), similar shapes. A's pole is 16 cm and B's matching pole is 10 cm. What is the scale factor from A to B?

    0.625
  3. Noah compares two similar tent flaps. Triangle ABC is similar to triangle EFD. How many cm long is side FD?

    17.5
  4. Bo has similar roof triangles A and B. Every side of B is 2 times as long as A's. A has angles of 50° and 55°. How big is B's angle matching A's third angle?

    75
  5. Esme has similar sails A and B. Every side of B is 1.5 times as long as A's. A has angles of 35° and 60°. How big is B's angle matching A's third angle?

    85
  6. Luz cuts a small sail (A) and a bigger, similar sail (B), shown here. How many cm of rope go all the way around B's edge?

    36
  7. Milo builds a small ramp (A) and a bigger, similar ramp (B), shown here. How many cm of tape go all the way around B's edge?

    47.5
  8. Noah orders a bigger print of a drawing. The drawing (A) is 4 by 6 inches and the print (B) is 6 by 9 inches. Are A and B similar?

    • No: the print is a different size than the drawing
    • No: the short sides differ by 2 inches but the long sides differ by 3
    • Yes: both pairs of sides are × 3/2
    • Yes: both rectangles are longer than they are wide
  9. Zee labels two similar roofs. Triangle ABC is similar to triangle FDE. Angle A is 40°. Which corner of triangle FDE has a 40° angle?

    • corner F
    • corner D
    • corner E
  10. Ari labels two similar tent flaps. Triangle ABC is similar to triangle EFD. Angle B is 65°. Which corner of triangle EFD has a 65° angle?

    • corner F
    • corner D
    • corner E