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1 Inequalities In Two Triangles

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Page 1: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

1

Inequalities

In Two

Triangles

Page 2: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

Hinge Theorem:

If two sides of 1 triangle are congruent to 2 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.

88

A

C

B

35

Z

Y

X

Page 3: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

1.

2.

3.

Page 4: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

Converse of the Hinge Theorem:

If 2 sides of 1 triangle are congruent to 2 sides of another triangle,and the third side of the first 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.

9

Z

Y

X

12

A

C

B

Page 5: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

1.

3.

2.

Page 6: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

Solve for x.

Page 7: 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the

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I have four sides and two sets of parallel sides. What shape am I? Circle RRRR eeee cccc tttt aaaa nnnn gggg llll eeee Triangle Trapezoid

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