Triangle Inequalities and Hinge Theorem Review

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?
Back
Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.
3.
FLASHCARD QUESTION
Front
What is the Hinge Theorem?
Back
The Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger than the included angle of the second triangle, then the third side of the first triangle is longer than the third side of the second triangle.
4.
FLASHCARD QUESTION
Front
Can the sides of a triangle have lengths 3, 8, and 9?
Back
Yes, because 3 + 8 > 9, 3 + 9 > 8, and 8 + 9 > 3.
Tags
CCSS.7.G.A.2
5.
FLASHCARD QUESTION
Front
Which side is shorter in a triangle with sides 5, 7, and 10?
Back
The shorter sides are 5 and 7, with 5 being the shortest.
6.
FLASHCARD QUESTION
Front
In a triangle, if one angle measures 60 degrees and another measures 80 degrees, what can be said about the lengths of the sides opposite these angles?
Back
The side opposite the 80-degree angle is longer than the side opposite the 60-degree angle.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a triangle?
Back
In a triangle, larger angles are opposite longer sides.
Tags
CCSS.HSG.CO.C.10
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