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. 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 CW
    • side UW
    • 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 SW
    • side YW

  9. 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 GF
    • side HF

  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?

  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?

PencilGopencilgo.com

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. 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 CW
    • side UW
    • 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 SW
    • side YW

  9. 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 GF
    • side HF

  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

  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