Hinge Theorem

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

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

Move point C so that angle A becomes larger and smaller. What do you notice about how this affects the length of the opposite side BC?

Adjust point C so that angle A has a measure of approximately 30 degrees, and adjust point F so that angle D has a measure of approximately 45 degrees. Which statement is correct?

BC > EF BC < EF

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

Hinge Theorem

Information: Hinge Theorem