Guide :High School

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

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
While Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown ( I attached below the picture that should have support your question). And If he starts with the assumption that segment DE is parallel to segment BC I am pretty sure that inequality which he will  use to contradict the assumption is the first option : 4:10 ≠ 6:14 ...

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