Worksheet

Missing sides of similar triangles, and shadow problems

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Table (pole | tree, in m)

    Height 2 | ?, with the arrow × 4 from the pole to the tree. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  2. Ari stands a 2 m pole in the sun. The tree's shadow is 4 times as long as the pole's shadow. How many meters tall is the tree?

  3. Table (stick | tower, in m)

    Height 1.5 | ?, with the arrow × 8 from the stick to the tower. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  4. Bo stands a 1.5 m stick in the sun. The tower's shadow is 8 times as long as the stick's shadow. How many meters tall is the tower?

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

    • side QG
    • side FG
    • side GH

  6. 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

  7. 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 SY
    • side SW

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

    • side GH
    • side HF
    • side GF

  9. 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

  10. 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?

  11. 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?

  12. 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?

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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 (pole | tree, in m)

    Height 2 | ?, with the arrow × 4 from the pole to the tree. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  2. Ari stands a 2 m pole in the sun. The tree's shadow is 4 times as long as the pole's shadow. How many meters tall is the tree?

    8

  3. Table (stick | tower, in m)

    Height 1.5 | ?, with the arrow × 8 from the stick to the tower. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  4. Bo stands a 1.5 m stick in the sun. The tower's shadow is 8 times as long as the stick's shadow. How many meters tall is the tower?

    12

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

    • side QG
    • side FG
    • side GH

  6. 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

  7. 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 SY
    • side SW

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

    • side GH
    • side HF
    • side GF

  9. 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

  10. 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

  11. 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

  12. 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