CH 6.6: Hinge Theorem

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

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

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

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

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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?

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