Question

Write a fraction setting the vertical length of the smaller triangle and the bigger triangle over its horizontal length. What do these fraction represent?

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?

Answer 1

Explanation:

Vertical length of the smaller triangle is:

• 2 - 0 = 2

Horizontal length of the smaller triangle is:

• 3 - 0 = 3

The fraction:

• 2/3

This fraction is same for the larger triangle, which is 4/6 = 2/3.

It means the slopes are same.

Since the slopes are same, the segments are part of same red line.