Hinge theorem review
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
FREE Resource
Student preview
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, 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.
2.
FLASHCARD QUESTION
Front
How do you determine the longest side of a triangle using angles?
Back
The longest side of a triangle is opposite the largest angle. To determine the longest side, compare the measures of the angles.
Tags
CCSS.HSG.CO.C.10
3.
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.
4.
FLASHCARD QUESTION
Front
If two sides of a triangle are 14 cm and 19 cm, what is the range for the length of the third side?
Back
The length of the third side must be greater than |14 - 19| = 5 cm and less than 14 + 19 = 33 cm. Therefore, the possible lengths are between 5 cm and 33 cm.
5.
FLASHCARD QUESTION
Front
Can a triangle have sides measuring 4 cm, 7 cm, and 2 cm?
Back
No, because 4 + 2 is not greater than 7, violating the Triangle Inequality Theorem.
Tags
CCSS.7.G.A.2
6.
FLASHCARD QUESTION
Front
How do you order angles in a triangle from largest to smallest?
Back
To order angles from largest to smallest, compare their measures. The angle with the largest measure is first, followed by the second largest, and then the smallest.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides of a triangle?
Back
In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.
Tags
CCSS.HSG.CO.C.10
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