Question

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

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

Which inequality will he use to contradict the assumption?

4:10 ≠ 6:14

4:6 ≠ 6:14

4:10 ≠ 6:8

4:14 ≠ 6:10

Answer 1

It would be the first one.

Answer 2

Thank you.

Answer 3

Let me explain.

Answer 4

Okay.

Answer 5

if DE is parallel to BC, then triangle ADE is similar to ABC. Therefore, AD/AB=AE/AC (similarity of sides). In ratio form, that gives you the answer you need.

Answer 6

Alright. That helps me understand a little more. Thank you.

Answer 7

you're welcome!!