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, inches	B, inches
   4	10 for the matching sides
   6	? for the other sides

2. 1.

   Kira prints a small flyer (A) and a bigger poster (B), similar rectangles. A's width is 4 inches and B's is 10 inches. A is 6 inches tall. How many inches tall is B?

   15
3. 2.

   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. 3.

   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. 4.

   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. 5.

   Tala paints a small model window (A) and a bigger one (B), similar rectangles. A's width is 12 cm and B's is 30 cm. B is 35 cm tall. How many cm tall is A?

   14
7. 6.

   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. 7.

   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. Sketch, not to scale

   Rectangle A has a long side of 9 cm and a short side of 6 cm; rectangle B is similar, with only its short side marked 15 cm.

10. 8.

    Esme paints two similar windows, A and B. A's long side is 9 cm and its short side is 6 cm. B's short side is 15 cm. How many cm long is B's long side?

    22.5
11. 9.

    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
12. 10.

    Zee labels two similar tent flaps. Triangle ABC is similar to triangle FDE. Which side of triangle FDE matches side AC?

    • side EF
    • side DE
    • side DF