Grade 7 · Math

7th grade Similar shapes: matching sides and angles worksheet

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Similar shapes: matching sides and angles

Grade 7 Math Worksheet - Challenge Me

NameDate

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

Milo compares two similar sails. Triangle ABC is similar to triangle FDE. How many cm long is side FD?
Noah compares two similar tent flaps. Triangle ABC is similar to triangle EFD. How many cm long is side FD?
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?
Jun has similar tent flaps A and B. Every side of B is 1.5 times as long as A's. A has angles of 40° and 45°. How big is B's angle matching A's third angle?
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?
6.
Ren compares two tabletops. Table A is 12 by 20 dm and table B is 15 by 25 dm. Are A and B similar?
- Yes: both pairs of sides are × 5/4
- Yes: both rectangles are longer than they are wide
- No: the two tabletops are different sizes
- No: the short sides differ by 3 dm but the long sides differ by 5 dm
7.
Tala sews two quilts. Quilt A is 3 by 5 feet and quilt B is 6 by 8 feet. Are A and B similar?
- No: 6 ÷ 3 = 2, but 8 ÷ 5 is not 2
- Yes: both sides are 3 feet longer
- No: quilt B is bigger than quilt A
- Yes: the short side doubled, 3 feet to 6 feet
8.
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 D
- corner E
- corner F
9.
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 D
- corner F
- corner E
One row 10 | 20 for the matching sides, with a box for the multiplier from B to A. Tala compares a kite design (A) and a bigger kite (B), similar shapes. A's tail is 10 cm and B's tail is 20 cm. What is the scale factor from B to A?

7th grade Similar shapes: matching sides and angles worksheet – printable — Print: 1 2 3 4 5 6

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

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