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7th grade Similar shapes: matching sides and angles worksheet

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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?

  10. 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

  11. 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

  12. 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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7th grade Similar shapes: matching sides and angles worksheet – printable
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About this worksheet

Similar shapes: matching sides and angles. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can match the sides and angles of two similar shapes and find the scale factor from A to B.
  • I can use the scale factor to find a missing side, going from A to B or from B back to A.
  • I can read a statement like “triangle ABC is similar to triangle FDE” to see which sides and corners match, and I know matching angles are equal.

Standard: 7.G.A.1 (partial; similarity proper is 8.G.A.4)

Words to know

similar shapes: Same shape, different size: every side is multiplied by the same number.

matching sides: Sides in the same place on each shape. They are also called corresponding sides.

scale factor from A to B: How many times as long B's side is as A's side: B's side ÷ A's side.

matching angles: Angles in the same place on each shape. In similar shapes they are equal.

similarity statement: A sentence like “ABC is similar to FDE”. Its letters pair up in order.

perimeter: The distance all the way around a shape.

Common mistakes

Your child used the scale factor the wrong way round: divided where the side needed multiplying, or the reverse.

Your child added or took away the gap between two matching sides instead of multiplying. Try it together: if a 2 inch side becomes 6 inches, what does a 5 inch side become?

Your child multiplied by B's whole side instead of by the scale factor.

What to say

Ask: is the second shape bigger or smaller, and should the side come out bigger or smaller?

Ask: how many times as long is B's matching side as A's?

Questions parents ask

What is the most common mistake with similar shapes: matching sides and angles?

Your child used the scale factor the wrong way round: divided where the side needed multiplying, or the reverse.

How can I help my child with similar shapes: matching sides and angles?

Ask: is the second shape bigger or smaller, and should the side come out bigger or smaller?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

See all grade 7 math

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