Triangle Inequality Theorem

Triangle Inequality Theorem

Assessment

Flashcard

Mathematics

7th Grade

Hard

CCSS
7.G.A.2

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 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 the side lengths of a triangle are a, b, and c, what must be true according to the Triangle Inequality Theorem?

Back

The following inequalities must hold: a + b > c, a + c > b, and b + c > a.

3.

FLASHCARD QUESTION

Front

Do the side lengths 65 mm, 32 mm, and 33 mm form a triangle?

Back

No, because 65 mm is not less than the sum of 32 mm and 33 mm (65 >= 32 + 33).

Tags

CCSS.7.G.A.2

4.

FLASHCARD QUESTION

Front

Which of the following measures DO NOT make a triangle: 5, 5, 11?

Back

These measures do not form a triangle because 5 + 5 is not greater than 11.

Tags

CCSS.7.G.A.2

5.

FLASHCARD QUESTION

Front

Which side lengths form a triangle: 45, 40, 75?

Back

Yes, these lengths form a triangle because 45 + 40 > 75, 45 + 75 > 40, and 40 + 75 > 45.

Tags

CCSS.7.G.A.2

6.

FLASHCARD QUESTION

Front

What is a necessary condition for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

7.

FLASHCARD QUESTION

Front

Can the lengths 7, 9, and 5 form a triangle?

Back

Yes, because 7 + 9 > 5, 7 + 5 > 9, and 9 + 5 > 7.

Tags

CCSS.7.G.A.2

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