Using the Hinge Theorem to Compare Sides of a Triangle - Congruent Triangles

Using the Hinge Theorem to Compare Sides of a Triangle - Congruent Triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains the hinge theorem, which applies when two triangles have two congruent sides and an included angle. The theorem states that if the included angle of one triangle is larger than that of another, the side opposite the larger angle is longer. The tutorial uses an example with angles of 90 and 80 degrees to demonstrate this concept, concluding that the side opposite the 90-degree angle is longer.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the congruent sides and the included angles in the hinge theorem.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What can be concluded if one included angle is larger than the other in the context of the hinge theorem?

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