Why a line has the same slope everywhere (similar triangles)
Grade 8 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Bo's sunflower grows at a steady rate and was already tall at day 2. Points A and B are marked. How tall is it at C, on day 10?
Luz's sunflower grows at a steady rate. Points A and B are marked on its height graph. On which day, at C, is it 35 inches tall?
Milo's tub already holds some water when the circle runs at a steady rate. Points A and B are marked on the graph. At what time, at point C, does the tub hold 24 gallons?
Noah starts a hike some miles from home at a steady pace. Points A and B are marked. After how many hours, at C, is Noah 28 miles from home?
Tala's sledding hill has slope 0.4. A slope triangle under it has run 6.5 meters. What is its rise, in meters?
Zee's snail graph is a straight line through (0, 0). Its slope triangle has run 3/4 minute and rise 5/6 inch. What rule gives y (inches) for any x (minutes)?
Bo's sunflower grows at a steady rate. Its slope triangle has run 3/4 day and rise 4/5 inch. What rule gives y (inches) for any x (days)?
The given slope triangle on Esme's roof has run 8 inches and rise 5 inches. A smaller triangle on the roof is half the size of the given one. What is the roof's slope?
A slope triangle on Jun's sledding hill has run 10 feet and rise 3 feet. A bigger triangle on the same hill is 3/2 times as big. What is the slope of the hill?
Noah says: "A roof line has a steeper slope near the peak than near the edge." Which reply is right?
- No: the slope is the same because every triangle has the same rise
- Yes: the line bends upward toward the peak, so the slope grows
- Yes: triangles near the peak are bigger, so their slope is bigger
- No: slope triangles anywhere on a straight line are similar, so the slope is the same