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Glencoe Geometry Chapter 5 Test Form 1 Answers by Sarah Eichmann Click here for Free Registration of Glencoe Geometry Chapter 5 Test Form 1 Answers Book Rated from 75 votes Book ID: 9484399C48D7296934A7B48F0C4538C9.

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The converse of the hinge theorem states that if two triangles have two congruent sides, then the triangle with the longer third side will have a larger angle opposite that third side.

The hinge theorem is used in real-life situations such as trap door openings, surveying, transportation, and urban planning. The hinge theorem is also called the alligator hinge. As the jaws of alligators are fixed, the angle is increased when the prey size is increased.

The "included angle" is the angle formed by the two sides of the triangle mentioned in this theorem. This theorem is called the "Hinge Theorem" because it acts on the principle of the two sides described in the triangle as being "hinged" at their common vertex. Consider the alligator jaws at the right.

0:00 4:27 Hinge Theorem (Geometry) - YouTube YouTube Start of suggested clip End of suggested clip Basically what the hinge theorem says is that if we have two sides in one triangle that areMoreBasically what the hinge theorem says is that if we have two sides in one triangle that are congruent to two sides in another triangle. But the angle.

The Hinge Theorem (SAS Inequality Theorem) If two sides of one triangle are congruent to two sides of another triangle and the included angles are not congruent, then the longer third side is opposite the larger included angle.

Hinge Theorem: If one triangle has two sides that are congruent to two sides of another triangle, such that the included angles are different, then the side opposite the larger angle is larger than the side opposite the smaller angle.

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