Hinge Theorem

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

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A
AB = DF
B
AB = DE
C
AC = DF
D
AC = DE

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?

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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?

Select all that apply

A
BC < EF
B
BC > EF

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

Select all that apply

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.

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Hinge Theorem

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