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. Ratio table (run | rise)

   Small triangle 6 | 3, large triangle 18 | ?, with the arrow × 3 beside both columns. Run and rise in feet.

6. 3.

   A small slope triangle on Milo's roof has run 6 feet and rise 3 feet. The bigger triangle has run 18 feet (arrow × 3). What is its rise, in feet?

   9
7. 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
8. 5.

   A small slope triangle on Ren's roof has run 12 inches and rise 5 inches. A bigger triangle on the same roof has run 36 inches. What is its rise, in inches?

   15
9. 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
10. 7.

    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
11. 8.

    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. 9.

    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
13. 10.

    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