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. 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?

  4. 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?

  5. 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?

  6. Jun sews two similar doll quilts, A and B. A's long side is 12 inches; its short side is 8 inches. B's long side is 36 inches. How many inches long is B's short side?

  7. 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?

  8. Pia copies a roof triangle (A) onto a tiny card (B). Every side of B is 0.25 times as long as A's. A has an angle of 110°. How big is B's matching angle?

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

    • side EF
    • side DE
    • side DF
  10. Zee labels two similar tent flaps. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AC?

    Use the picture in question 8.

    • side DF
    • side DE
    • side EF
  11. Bo labels two similar warning signs. Triangle STU is similar to triangle VWX. Which side of triangle VWX matches side SU?

    • side VX
    • side VW
    • side WX
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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. 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
  4. 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
  5. 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
  6. Jun sews two similar doll quilts, A and B. A's long side is 12 inches; its short side is 8 inches. B's long side is 36 inches. How many inches long is B's short side?

    24
  7. 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
  8. Pia copies a roof triangle (A) onto a tiny card (B). Every side of B is 0.25 times as long as A's. A has an angle of 110°. How big is B's matching angle?

    110
  9. Ren labels two similar warning signs. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AB?

    • side EF
    • side DE
    • side DF
  10. Zee labels two similar tent flaps. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AC?

    Use the picture in question 8.

    • side DF
    • side DE
    • side EF
  11. Bo labels two similar warning signs. Triangle STU is similar to triangle VWX. Which side of triangle VWX matches side SU?

    • side VX
    • side VW
    • side WX