Converse of Pythagorean Theorem

Converse of Pythagorean Theorem

Assessment

Flashcard

Mathematics

8th Grade

Hard

CCSS
8.G.B.8, HSG.CO.C.10, 4.G.A.2

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Converse of the Pythagorean Theorem?

Back

If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

What is the formula to check if a triangle is a right triangle using the Converse of the Pythagorean Theorem?

Back

c² = a² + b², where c is the longest side.

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

If a triangle has sides 8, 15, and 17, which side is the hypotenuse?

Back

17, because it is the longest side.

Tags

CCSS.HSG.CO.C.10

5.

FLASHCARD QUESTION

Front

Do the lengths 7, 24, and 25 form a right triangle?

Back

Yes, because 7² + 24² = 25² (49 + 576 = 625).

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

A triangle where one angle measures 90 degrees.

Tags

CCSS.4.G.A.2

7.

FLASHCARD QUESTION

Front

If a triangle has sides 6, 8, and 10, is it a right triangle?

Back

Yes, because 6² + 8² = 10² (36 + 64 = 100).

Tags

CCSS.8.G.B.8

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