CH 6.6: Hinge Theorem

Triangle ABC and DEF have two pairs of congruent corresponding sides. Select all the correct statements.

AC = DF AB = DE AB = DF AC = DE

Change angle A to approximately 40 degrees. What happened to side BC as a result?

BC became smaller BC does not change BC became larger

When angle A= 40 degrees, is side BC less than, greater than, or equal to side EF?

BC > EF BC = EF BC < EF

As the measure of an angle increases, what happens to the measure of the side opposite that angle?

The side length will increase The side length will stay the same The side length will decrease

Write a Conjecture

What relationship exists between angles A and D and the sides opposite them?

Which statement(s) is a correct conclusion of this exploration?

If two triangles have two pairs of corresponding congruent sides, then the triangle with the larger included angle will have the larger opposite side. If two triangles have two pairs of corresponding congruent sides, then the triangle with the larger third side will have the larger included angle. If two triangles have two pairs of corresponding congruent sides, then the included angles of both triangles will be congruent.

CH 6.6: Hinge Theorem

Write a Conjecture

Information: CH 6.6: Hinge Theorem