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The Hinge Theorem

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Math I Unit 3 Concept: Triangular Inequalities. The Hinge Theorem. If two sides of a triangle are congruent to two sides of ... The Hinge Theorem Converse ... – PowerPoint PPT presentation

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Title: The Hinge Theorem


1
The Hinge Theorem
2
The Hinge TheoremIf two sides of a triangle are
congruent to two sides of another triangle, and
the included angle of the first is larger than
the included angle of the second, then the third
side of the first is longer than the third side
of the second
3
The Hinge TheoremIf two sides of a triangle are
congruent to two sides of another triangle, and
the included angle of the first is larger than
the included angle of the second, then the third
side of the first is longer than the third side
of the second
4
The Hinge TheoremIf two sides of a triangle are
congruent to two sides of another triangle, and
the included angle of the first is larger than
the included angle of the second, then the third
side of the first is longer than the third side
of the second
5
(No Transcript)
6
The Hinge Theorem ConverseIf two sides of a
triangle are congruent to two sides of another
triangle, and the third side of the first
triangle is longer than the third side of the
second, then the included angle of the first is
larger than the included angle of the second
7
The Hinge Theorem ConverseIf two sides of a
triangle are congruent to two sides of another
triangle, and the third side of the first
triangle is longer than the third side of the
second, then the included angle of the first is
larger than the included angle of the second
8
The Hinge Theorem ConverseIf two sides of a
triangle are congruent to two sides of another
triangle, and the third side of the first
triangle is longer than the third side of the
second, then the included angle of the first is
larger than the included angle of the second
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