Missing sides of similar triangles, and shadow problems

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. Read this first

   Table (stick | house, in m)

   Height 1.2 | ?, with the arrow × 5 from the stick to the house. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

2. 1.

   Jun stands a 1.2 m stick in the sun. The house's shadow is 5 times as long as the stick's shadow. How many meters tall is the house?

   6
3. 2.

   Kira draws a small triangle FQS inside a big triangle FGH. They share corner F. Which side of FGH matches side FQ?

   • side FG
   • side GH
   • side QG
4. 3.

   Luz draws a small triangle CDU inside a big triangle CVW. They share corner C. Which side of CVW matches side CU?

   • side VW
   • side CW
   • side UW
5. 4.

   Milo draws a small triangle SUV inside a big triangle SYW. They share corner S. Which side of SYW matches side UV?

   • side YW
   • side SW
   • side SY
6. 5.

   Noah draws a small triangle GQD inside a big triangle GHF. They share corner G. Which side of GHF matches side QD?

   • side GF
   • side HF
   • side GH
7. 6.

   Pia draws a small triangle WYD inside a big triangle WCV. They share corner W. Which side of WCV matches side WY?

   • side WC
   • side CV
   • side YC
8. 7.

   Ren draws a small triangle CDU inside a big triangle CVW. The scale factor from the small triangle to the big one is 2. How many cm long is side CV?

   14
9. 8.

   Tala draws a small triangle SUV inside a big triangle SYW. The scale factor from the small triangle to the big one is 3. How many cm long is side SY?

   18
10. 9.

    Zee draws a small triangle GQD inside a big triangle GHF. The scale factor from the small triangle to the big one is 5. How many cm long is side GH?

    20
11. 10.

    Ari draws a small triangle WYD inside a big triangle WCV. The scale factor from the small triangle to the big one is 4. How many cm long is side WC?

    32