Hinge Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Hinge Theorem?
Back
The Hinge Theorem states that if two triangles have two sides of one triangle congruent to two sides of another triangle, then the angles opposite the longer third side are greater.
2.
FLASHCARD QUESTION
Front
If two sides of a triangle are equal, what can be said about the angles opposite those sides?
Back
The angles opposite the equal sides are also equal.
Tags
CCSS.8.G.A.5
3.
FLASHCARD QUESTION
Front
In the context of the Hinge Theorem, if segment AC is longer than segment AB, what can be said about the angle opposite segment AC compared to the angle opposite segment AB?
Back
The angle opposite segment AC is greater than the angle opposite segment AB.
Tags
CCSS.HSG.CO.C.9
4.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of sides and the angles in a triangle according to the Hinge Theorem?
Back
In a triangle, the larger the length of a side, the larger the angle opposite that side.
5.
FLASHCARD QUESTION
Front
Given two triangles with sides of lengths 5, 7, and 9, and 5, 8, and 10, which triangle has the larger angle opposite the longest side?
Back
The second triangle has the larger angle opposite the longest side.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
If angle 1 is greater than angle 2, what can be inferred about the lengths of the sides opposite these angles?
Back
The side opposite angle 1 is longer than the side opposite angle 2.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
What is the range of possible values for x if the sides of a triangle are 5, 7, and x?
Back
The range is .
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