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

2. 1.

   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

3. Ratio table (run | rise)

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

4. 2.

   Luz's kite string slopes up. A small slope triangle has run 2 feet and rise 5 feet. The bigger triangle has run 4 feet (arrow × 2). What is its rise, in feet?

   10
5. 3.

   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. 4.

   Pia's sledding hill has a small slope triangle with run 10 feet and rise 3 feet. A bigger triangle on the same hill has run 30 feet. What is its rise, in feet?

   9
7. 5.

   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
8. 6.

   Zee's sledding hill has a small slope triangle with run 8 feet and rise 3 feet. A bigger triangle on the same hill has rise 9 feet. What is its run, in feet?

   24
9. 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
10. 8.

    Esme's kite string slopes up. A small slope triangle has run 2 feet and rise 5 feet. A bigger triangle has rise 10 feet. What is its run, in feet?

    4
11. 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
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