5.6 Hinge Theorem Practice (with Perp. Bisectors)
Flashcard
•
Mathematics
•
9th - 12th 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 equal length and the included angle of one triangle is larger than the included angle of the other, then the side opposite the larger angle is longer.
2.
FLASHCARD QUESTION
Front
Define a perpendicular bisector.
Back
A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.
3.
FLASHCARD QUESTION
Front
What is the relationship between angles and sides in triangles according to the Hinge Theorem?
Back
In triangles, the larger angle is opposite the longer side, and the smaller angle is opposite the shorter side.
4.
FLASHCARD QUESTION
Front
How do you find the range of possible values for a variable in triangle inequalities?
Back
Use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side.
5.
FLASHCARD QUESTION
Front
What is a circumcenter?
Back
The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
6.
FLASHCARD QUESTION
Front
What is the significance of the circumcenter in a triangle?
Back
The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
7.
FLASHCARD QUESTION
Front
How do you determine which angle is the largest in a triangle?
Back
The largest angle in a triangle is opposite the longest side.
Tags
CCSS.HSG.CO.C.10
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