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What is the hinge theorem?

Updated: 4/28/2022
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14y ago

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The hinge theorem in geometry states that if two sides of one 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 triangle is longer than the third side of the second triangle

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Q: What is the hinge theorem?
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Related questions

Why the name hinge theorem is used for theorem?

The theorem emulates the action of a hinge. As the angle of the hinge is increased the distance between the free edges increases.


Why is hinge theorem called hinge theorem?

because it works like a door hinge. When the door hinge is opened wider the angle is greater and when opened less the angle would be lesser.


what- can the hinge theorem be used to compare QRT?

no


Which angles can be compared using the Hinge Theorem?

UVT


What is the Hinge Theorem is based on?

SAS Inequality Theorem the hinge theorem states that if two sides of one 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 triangle is longer than the third side of the second triangle.


Is this statement true or falseThe Converse of the Hinge Theorem can be used to determine exact measures of angles?

false


Is this statement true or falseThe Hinge Theorem can be used to compare side measures of two triangles?

true


Is this statement true or falseThe Hinge Theorem states that the largest side of a triangle will be opposite the largest angle?

false


What is the converse of the Hinge Theorem?

Converse of the Hinge Theorem:If tow sides of one triangle are congruent to two sides of another triangle and the the included angles are not congruent, then the included angle that is larger has the longer third side across from it.


How is the Hinge Theorem alike to the SAS Congruence Postulate?

Chyna Lachano Pendelton daughter of Latonya Scott knows the answer. Hit upp her Facebook. ^.^


Does the door hinge adjust where the hinge is attached to the hinge post?

door hinges attached to door and hinge post


What type of joint are the elbow and knee?

Hindge joint