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Hinge Theorem and its Converse

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

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  • A
  • B
  • C
  • D
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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. Adjust point F so that angle D has a measure of approximately 45 degrees. Which statement is correct?

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  • A
  • B
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Adjust point C so that side BC has a length of approximately 6 units. Adjust point F so that side EF has a length of approximately 4 units. Which statement is correct?

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

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  • A
  • B
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