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  5. Hinge Theorem, Angle And Perpendicular Bisectors Plus Review
Hinge Theorem, Angle and Perpendicular Bisectors plus review

Hinge Theorem, Angle and Perpendicular Bisectors plus review

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

CCSS
8.G.A.2, HSG.CO.C.9, 8.G.B.8

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

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 third side of the first triangle is longer than the third side of the second triangle.

2.

FLASHCARD QUESTION

Front

What does it mean for a point to be equidistant from two figures?

Back

A point is equidistant from two figures if it is the same distance from both figures.

3.

FLASHCARD QUESTION

Front

How do you find the range of possible values for x in a triangle?

Back

To find the range of possible values for x in a triangle, apply 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.

4.

FLASHCARD QUESTION

Front

What is the relationship between angles and perpendicular bisectors?

Back

The perpendicular bisector of a segment is the locus of points that are equidistant from the endpoints of the segment, and any point on the perpendicular bisector is equidistant from the segment's endpoints.

Tags

CCSS.HSG.CO.C.9

5.

FLASHCARD QUESTION

Front

If two angles are congruent, what can be said about their measures?

Back

If two angles are congruent, their measures are equal.

Tags

CCSS.8.G.A.2

6.

FLASHCARD QUESTION

Front

What is the significance of the vertex in the Hinge Theorem?

Back

In the Hinge Theorem, the vertex of the angle acts like a hinge, allowing the triangle to 'open' or 'close' based on the angle's measure.

7.

FLASHCARD QUESTION

Front

How do you calculate the length of a missing side in a triangle?

Back

To calculate the length of a missing side in a triangle, you can use the Pythagorean theorem for right triangles or the Law of Cosines for non-right triangles.

Tags

CCSS.8.G.B.8

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