What is Hinge Theorem?

The Hinge Theorem states that if two sides of two triangles are congruent and the included angle is different, then the angle that is larger is opposite the longer side.

What is the justification of door in Hinge Theorem?

The Hinge Theorem You go first by opening the door so that the length of the opening is large enough for you to fit through it. Mary goes second, and has to open the door a bit wider to make the length of the opening large enough for her to fit through.

What is the example of Hinge Theorem?

One side is the door, one side is the floor length of the door, and the third side is the opening length. The wider you open the door, the greater the hinge angle and the greater the opening length. When it’s put like that, it seems like common sense!

What is the inverse of the Hinge Theorem?

The SSS inequality theorem is the converse of the hinge theorem: if two sides of two triangles are congruent, but the third side on one is shorter than on the other, we know that the corresponding angle is also smaller.

What is the difference between Hinge Theorem and converse of the Hinge Theorem?

The converse of the hinge theorem is also true: If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second …

How can you apply Hinge Theorem in real life situation?

The Hinge Theorem can be helpful in a real life situation where you’re trying to tell the difference in distance you traveled compared to another distance.

What is the relationship of hinge devices to Hinge Theorem?

In geometry, 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 door a Hinge Theorem?

When we open it, we create a triangle. One side is the door, one side is the floor length of the door, and the third side is the opening length. 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.

What is the hinge theorem is based on?

In geometry, 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.

What is the hinge theorem Converse used to show?

The converse of the hinge theorem is also true: If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.

What is the converse of the hinge theorem?

Converse. The converse of the hinge theorem is also true: If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.

What is the triangle hinge theorem?

Hinge theorem. Jump to navigation Jump to search. In geometry, 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.