Title: The Hinge Theorem
1The Hinge Theorem
2The 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
3The 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
4The 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)
6The 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
7The 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
8The 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