Lesson 3: Hinge Theorem and its Converse

Question 1

It states that if two sides of a triangle is congruent to two sides of another triangle, and the included angle of the triangle is greater than the included angle of another, then the 3rd side of the 1st triangle is longer than the another.

Answer 1

Hinge Theorem

Question 2

It states that if two sides of a triangle is congruent to two sides of another triangle, and the 3rd side of the triangle is greater than the 3rd side of another, then the included angle of the 1st triangle is greater than the another.

Answer 2

Converse of the Hinge Theorem

Question 3

Other name for the Hinge Theorem

Answer 3

Side-Angle-Side Inequality Theorem

Question 4

Points R, P, and M are considered the hinge of the non-congruent sides.

Answer 4

Hinge in a triangle

Question 5

A movable joint or mechanism on which a door, gate, or lid swings as it opens and closes or which connects linked objects.

Answer 5

Definition of a hinge

Question 6

Determine the corresponding angles and sides.

Answer 6

Step to apply the Hinge Theorem

Question 7

Determine the corresponding angles and sides.

Answer 7

Step to apply the Converse of the Hinge Theorem