HINGE THEOREM AND ITS CONVERSE

HINGE THEOREM AND ITS CONVERSE

Assessment

Flashcard

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
8.G.A.2, HSG.SRT.D.10, HSG.CO.B.7

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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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 one triangle equal 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

What is the converse of the Hinge Theorem?

Back

The converse of the Hinge Theorem states that if two triangles have two sides of one triangle equal to two sides of another triangle, and the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle.

3.

FLASHCARD QUESTION

Front

If triangle ABC has sides AB = 5 cm, AC = 7 cm, and angle A = 60°, what can be said about triangle DEF with sides DE = 5 cm, DF = 7 cm, and angle D?

Back

If angle D is less than 60°, then side EF of triangle DEF will be longer than side BC of triangle ABC.

Tags

CCSS.8.G.A.2

4.

FLASHCARD QUESTION

Front

How can you determine if two triangles are congruent using the Hinge Theorem?

Back

You can determine if two triangles are congruent by showing that their corresponding sides are equal and their included angles are equal.

5.

FLASHCARD QUESTION

Front

What is the relationship between angles and sides in triangles according to the Hinge Theorem?

Back

In triangles, if one angle is larger than another, the side opposite the larger angle is longer.

6.

FLASHCARD QUESTION

Front

If triangle GHI has GH = 8 cm, GI = 6 cm, and angle G = 45°, what can be inferred about triangle JKL with JK = 8 cm, JL = 6 cm, and angle J?

Back

If angle J is greater than 45°, then side KL of triangle JKL will be longer than side HI of triangle GHI.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

FLASHCARD QUESTION

Front

What is the significance of the included angle in the Hinge Theorem?

Back

The included angle is significant because it determines the relationship between the lengths of the opposite sides in the two triangles.

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