5.5-5.7 Vocab

Question 1

Indirect reasoning

Answer 1

all possibilities are considered and the all nut one are proved false. The remaining possibility must be true

Question 2

Indirect proof

Answer 2

proof that uses indirect reasoning

Question 3

Comparison property of inequality

Answer 3

if a=b+c and c>0, then a>b

Question 4

Corollary to the triangle exterior angle theorem

Answer 4

The measure of an exterior angle of a triangle is greater then the measure of each of its remote interior angles.

Question 5

Hinge Theorem

Answer 5

If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle

Question 6

Converse of the hinge theorem

Answer 6

If two sides of one triangle are congruent to two sides of another triangle, and the third sides are not congruent, then the larger included angle is opposite the longer third side.