Why a line has the same slope everywhere (similar triangles)
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Noah's sledding hill has a small slope triangle with run 4 feet and rise 3 feet. A bigger triangle on the same hill has run 10 feet. What is its rise, in feet?
A small slope triangle on Pia's roof has run 6 inches and rise 5 inches. A bigger triangle on the same roof has run 15 inches. What is its rise, in inches?
Ren's ramp has a small slope triangle with run 8 feet and rise 3 feet. A bigger triangle on the same ramp has run 12 feet. What is its rise, in feet?
Tala's sledding hill has a small slope triangle with run 7 feet and rise 4 feet. A bigger triangle on the same hill has rise 6 feet. What is its run, in feet?
A small slope triangle on Zee's roof has run 9 inches and rise 4 inches. A bigger triangle on the same roof has rise 14 inches. What is its run, in inches?
Ari's kite string slopes up. A small slope triangle has run 3 feet and rise 5 feet. A bigger triangle has rise 8 feet. What is its run, in feet?
Esme's printer graph is a straight line from (0, 0). The slope triangle to the marked point has run 6 minutes and rise 9 pages. What is the rise at 14 minutes?
Noah's snail graph is a straight line through (0, 0). Its slope triangle has run 6 minutes and rise 4 inches. What rule gives y (inches) for any x (minutes)?
Ren's sunflower graph is a straight line through (0, 0). Its slope triangle has run 12 days and rise 9 inches. What rule gives y (inches) for any x (days)?
Ari measures two slope triangles on a roof line. One is twice as long and twice as tall as the other. Which reason explains the same slope?
- The long side is doubled, so rise ÷ run does not change
- Only the run is doubled, so rise ÷ run does not change
- Both legs are multiplied by 2, so rise ÷ run does not change
- Both legs are added to by 2, so rise ÷ run does not change