Question

Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:

A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line.

He starts with the assumption that segment DE is parallel to segment BC.

Which inequality will he use to contradict the assumption?

Answer 1

4:10 ≠ 6:14

Explanation:

bc i said so

Answer 2

That Ratios aren't equal.

Explanation:

Given: DE is || to BC.

So in order to make this false then we have to say that the sides aren't proprtional, making it not possible to get the ratios equal.

(See the Triangle proprtionality theorem or the triangle midsegment theorem)