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

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Mathematics
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11th Grade - University
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Medium
Wayground Content
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a necessary condition for the hinge theorem to be applicable?
Two equal sides and a non-included angle
Two equal angles and a non-included side
Two congruent sides and an included angle
Two congruent angles and a side
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the hinge theorem, if one triangle has a larger included angle than another, what can be said about the opposite sides?
The theorem does not apply
The side opposite the larger angle is longer
The sides are equal
The side opposite the larger angle is shorter
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the hinge theorem?
It compares the area of two triangles
It compares the perimeter of two triangles
It compares side lengths of two different triangles
It compares angles of two different triangles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the included angles and the opposite sides in the hinge theorem?
Included angles do not affect opposite sides
Larger included angle leads to a shorter opposite side
Larger included angle leads to a longer opposite side
Smaller included angle leads to a longer opposite side
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the hinge theorem help to prove in geometry?
The equality of angles based on side lengths
The inequality of side lengths based on angles
The similarity of two triangles
The congruence of two triangles
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