in triangle GHJ, segment GH is congruent to segment HJ. using the indirect proof method, you attempt to prove that angle G and angle J are right angles. which theorem will contradict this claim

Question

A. triangle angle-sum theorem

B. Side angle side theorem

C. Converse of the isosceles triangle theorem

D. Angle-angle-side theorem

Answer 1

The sum of the three angles within a triangle is 180°, so:

angle G + angle H + angle J = 180°

If angles G and J are right angles:

angle G + angle H + angle J = 180°

90° + angle H + 90° = 180°

180° + angle H = 180°

angle H = 0

So if angles G and J are both right angles, angle H is zero which means you don't have a triangle. So the answer is A) Triangle Angle Sum Theorem