by BlastRoom
Use similar right triangles on a line to explain why slope is the same between any two points.
#us_grade_8_math

20 questions
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Points A, B and C all lie on the line shown. Using A and C rather than A and B, what is the slope?

P, Q and R lie on the line shown. What slope does the pair Q and R give?

D, E and F lie on the line shown. What is the slope from D to F?

M, N and T lie on the line shown. Find the slope using M and T instead of M and N.

G, H and K lie on the line shown. A student found the slope from G to H. What slope does the pair H and K give?

L, W and V lie on the line shown. Work out the slope from L to V.

The two right triangles are slope triangles taken from the same line, so they are similar. How long is the side marked with a question mark?

Both triangles are slope triangles from one line, so they are similar. The second triangle's horizontal leg is not labeled. How long is it?

These similar slope triangles come from the same line. What is the length of the vertical leg marked with a question mark?

Two slope triangles from the same line are drawn side by side. The larger triangle's vertical leg carries no number. Find its length.

The smaller triangle is a slope triangle taken from the same line as the larger one. How long is its vertical leg?

P, Q and R lie on the line shown. Why does vertical change divided by horizontal change come out the same for the pair P and Q as for the pair P and R?

Picture a slope triangle under A to B and another under A to C on the line shown. What makes those two triangles similar?

D, E and G lie on the line shown, and the horizontal leg from D to G is three times the horizontal leg from D to E. What is true of the vertical legs?

A student says the slope from J to N must be steeper than the slope from J to K, because J and N are further apart. Why is that wrong?

The slope triangle under X to Y and the one under X to Z are different sizes. Which word describes the pair, and what follows from it?

Points D, E, and F are graphed on the line shown. What is the rise from D to F?

On the line shown, the slope triangle from G to H has run 3 units and rise 2 units. The triangle from G to K has run 9 units. Find its rise.

On the line shown, the slope triangle from M to N has run 4 units and rise 3 units. From M to Q the rise is 6 units. What is the run?

R, S, and T lie on the line shown. How far above R is T?

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40 questions