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

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

Which inequality will she use to contradict the assumption?

6:2 ≠ 7:10

6:8 ≠ 7:10

6:7 ≠ 2:7

6:2 ≠ 3:2

Question

Mathematics

Mackenzie Mcclure

Today, 09:14

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

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

Which inequality will she use to contradict the assumption?

6:2 ≠ 7:10

6:8 ≠ 7:10

6:7 ≠ 2:7

6:2 ≠ 3:2

+3

Answers (1)

Know the Answer?

Renee Bryant · Answer 1

If DE is parallel to BC then triangles ABC and ADE are similar. Then their corresponding sides will be in the same ratio:

AD : AB = AE : AC

6 : 8 = 7 : 10

If we want to prove that DE is not parallel to BC:

6 : 8 ≠ 7 : 10 (Answer: B)

Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown.She starts with the assumption that segment DE is parallel to segment BC.Which inequality will she use to contradict the assumption?6:2 ≠ 7:106:8 ≠ 7:106:7 ≠ 2:76:2 ≠ 3:2