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.

   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
6. 5.

   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
7. 6.

   Noah draws two similar sails, A and B. Every side of B is 2.5 times as long as A's. A has an angle of 45° at the top. How big is B's matching angle?

   45
8. 7.

   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
9. 8.

   Tala labels two similar sails. Triangle ABC is similar to triangle EFD. Which side of triangle EFD matches side BC?

   • side DF
   • side DE
   • side EF
10. 9.

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

    • side DE
    • side EF
    • side DF
11. 10.

    Bo labels two similar warning signs. Triangle STU is similar to triangle VWX. Which side of triangle VWX matches side SU?

    • side VW
    • side WX
    • side VX