Using the Converse Hinge Theorem to Compare Angles

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial requirement to apply the hinge theorem?
Two parallel lines
Two equal areas
Two congruent angles
Two congruent sides
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the converse hinge theorem help determine?
The area of a triangle
The sum of all angles in a triangle
The relationship between side lengths and angles
The perimeter of a triangle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is compared in the hinge theorem?
The lengths of two sides
The measures of two angles
The areas of two triangles
The perimeters of two triangles
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the measure of angle ACB greater than angle GDE?
Because GDE is a right angle
Because the opposite side length of ACB is larger
Because ACB is an acute angle
Because ACB is an exterior angle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the side opposite the included angle in the hinge theorem?
It is always the longest side
It affects the measure of the included angle
It determines the type of triangle
It is irrelevant to the theorem
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