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 (post | tree, in m)

    Height 1.5 | ?, with the arrow × 10 from the post to the tree. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  4. Esme stands a 1.5 m post in the sun. The tree's shadow is 10 times as long as the post's shadow. How many meters tall is the tree?

  5. 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).

  6. 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?

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

    • side UW
    • side CW
    • side VW

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

    • side SY
    • side YW
    • side SW

  9. 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 GH
    • side HF

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

    • side YC
    • side WC
    • side CV

  11. 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?

  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?

  13. 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?

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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 (post | tree, in m)

    Height 1.5 | ?, with the arrow × 10 from the post to the tree. Both stand straight up and the sun makes the same angle for both (sketch, not to scale).

  4. Esme stands a 1.5 m post in the sun. The tree's shadow is 10 times as long as the post's shadow. How many meters tall is the tree?

    15

  5. 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).

  6. 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

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

    • side UW
    • side CW
    • side VW

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

    • side SY
    • side YW
    • side SW

  9. 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 GH
    • side HF

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

    • side YC
    • side WC
    • side CV

  11. 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

  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

  13. 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