Worksheet

Why a line has the same slope everywhere (similar triangles)

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. Read this first

    Ratio table (run | rise)

    Small triangle 5 | 2, large triangle 20 | ?, with the arrow × 4 beside both columns. Run and rise in feet.

  2. A small slope triangle on Jun's loading ramp has run 5 feet and rise 2 feet. The bigger triangle has run 20 feet (arrow × 4). What is its rise, in feet?

  3. Ratio table (run | rise)

    Small triangle 8 | 3, large triangle 40 | ?, with the arrow × 5 beside both columns. Run and rise in feet.

  4. A small slope triangle on Kira's sledding hill has run 8 feet and rise 3 feet. The bigger triangle has run 40 feet (arrow × 5). What is its rise, in feet?

  5. Noah's ramp has a small slope triangle with run 12 inches and rise 1 inch. A bigger triangle on the same ramp has run 36 inches. What is its rise, in inches?

  6. A rope slopes up to Tala's tent top. A small slope triangle has run 3 feet, rise 4 feet. A bigger one has run 6 feet. What is its rise, in feet?

  7. A small slope triangle on Ari's roof has run 12 inches and rise 5 inches. A bigger triangle on the same roof has rise 10 inches. What is its run, in inches?

  8. Bo's loading ramp has a small slope triangle with run 5 feet and rise 2 feet. A bigger triangle on the same ramp has rise 12 feet. What is its run, in feet?

  9. A small slope triangle on Jun's ramp has run 24 inches and rise 2 inches. A bigger triangle on the same ramp is 3 times as big. What is the slope of the ramp?

  10. A small slope triangle on Kira's roof has run 12 inches and rise 5 inches. A bigger triangle on the same roof is 2 times as big. What is the slope of the roof?

  11. A small slope triangle on Luz's sledding hill has run 8 feet and rise 3 feet. A bigger triangle on the same hill is 4 times as big. What is the slope of the hill?

  12. Milo's kite string slopes up. A small slope triangle has run 2 feet and rise 5 feet. A bigger triangle is 3 times as big. What is the slope of the string?

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Why a line has the same slope everywhere (similar triangles)

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

  1. Read this first

    Ratio table (run | rise)

    Small triangle 5 | 2, large triangle 20 | ?, with the arrow × 4 beside both columns. Run and rise in feet.

  2. A small slope triangle on Jun's loading ramp has run 5 feet and rise 2 feet. The bigger triangle has run 20 feet (arrow × 4). What is its rise, in feet?

    8

  3. Ratio table (run | rise)

    Small triangle 8 | 3, large triangle 40 | ?, with the arrow × 5 beside both columns. Run and rise in feet.

  4. A small slope triangle on Kira's sledding hill has run 8 feet and rise 3 feet. The bigger triangle has run 40 feet (arrow × 5). What is its rise, in feet?

    15

  5. Noah's ramp has a small slope triangle with run 12 inches and rise 1 inch. A bigger triangle on the same ramp has run 36 inches. What is its rise, in inches?

    3

  6. A rope slopes up to Tala's tent top. A small slope triangle has run 3 feet, rise 4 feet. A bigger one has run 6 feet. What is its rise, in feet?

    8

  7. A small slope triangle on Ari's roof has run 12 inches and rise 5 inches. A bigger triangle on the same roof has rise 10 inches. What is its run, in inches?

    24

  8. Bo's loading ramp has a small slope triangle with run 5 feet and rise 2 feet. A bigger triangle on the same ramp has rise 12 feet. What is its run, in feet?

    30

  9. A small slope triangle on Jun's ramp has run 24 inches and rise 2 inches. A bigger triangle on the same ramp is 3 times as big. What is the slope of the ramp?

    1/12

  10. A small slope triangle on Kira's roof has run 12 inches and rise 5 inches. A bigger triangle on the same roof is 2 times as big. What is the slope of the roof?

    5/12

  11. A small slope triangle on Luz's sledding hill has run 8 feet and rise 3 feet. A bigger triangle on the same hill is 4 times as big. What is the slope of the hill?

    3/8

  12. Milo's kite string slopes up. A small slope triangle has run 2 feet and rise 5 feet. A bigger triangle is 3 times as big. What is the slope of the string?

    5/2