
Hinge Theorem
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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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 equal length, the triangle with the larger included angle will have a longer third side.
2.
FLASHCARD QUESTION
Front
According to the triangle inequality theorem, any side of a triangle must be _______ the other two sides of the triangle combined.
Back
shorter than
3.
FLASHCARD QUESTION
Front
If two sides of a triangle are 14 cm and 19 cm, what is a possible length for the third side?
Back
11 cm
4.
FLASHCARD QUESTION
Front
Can a triangle be formed with line segments that have lengths 2, 8, and 14 units?
Back
No, because these line segments wouldn't satisfy the triangle inequality theorem.
Tags
CCSS.7.G.A.2
5.
FLASHCARD QUESTION
Front
List the sides of triangle BCD from least to greatest if m< B = 10x - 28, m<C = 6x-1, and m< D = 8x -7.
Back
BD, CD, BC
Tags
CCSS.8.G.A.5
6.
FLASHCARD QUESTION
Front
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
Back
Greater than
7.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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