Question

What is the slope of the diagonal line on the smaller triangle? Explain how you found it


What is the slope of the diagonal line on the largest triangle? Explain how you found it

do they have the same slope? Why or why not?

Answer 1

The slope of the diagonal line of the smaller triangle is; 1/2

The slope of the diagonal line of the largest triangle is; 1/2

Both triangles have the same slope because the rate of change in y-coordinates to that of x-coordinates is the same.

• We want to find slope of the triangles and in mathematics we will adopt the formula;

m = (y2 - y1)/(x2 - x1)

• This simple means change in y-coordinates divided by change in x-coordinates.

• For the small triangle;

The coordinates of the smaller triangle are;

y2 = 1

y1 = 0

x2 = 2

x1 = 0

Thus, slope; m = (1 - 0)/(2 - 0) = 1/2

• For the largest triangle;

The coordinates of this larger triangle are;

y2 = 3

y1 = 1

x2 = 6

x1 = 2

Thus, slope; m = (3 - 1)/(6 - 2)

m = 2/4 = 1/2

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