Pythagorean Review

Pythagorean Review

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 8.G.B.7, 4.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 Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

What are the conditions for a set of three lengths to form a right triangle?

Back

For three lengths to form a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c², where c is the longest side.

Tags

CCSS.8.G.B.8

3.

FLASHCARD QUESTION

Front

Given the sides 9, 40, and 41, do they form a right triangle?

Back

Yes, they form a right triangle because 9² + 40² = 41² (81 + 1600 = 1681).

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

How do you calculate the length of the diagonal of a rectangle?

Back

To calculate the diagonal (d) of a rectangle with length (l) and width (w), use the formula: d = √(l² + w²).

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

What is the length of the diagonal of a pool measuring 25 m by 50 m?

Back

The diagonal is 55.9 m, calculated using the formula: d = √(25² + 50²) = √(625 + 2500) = √3125.

Tags

CCSS.8.G.B.8

6.

FLASHCARD QUESTION

Front

Do the sides 20 m, 8 m, and 19 m form a right triangle?

Back

No, they do not form a right triangle because 20² + 8² ≠ 19² (400 + 64 ≠ 361).

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

Do the sides 15 cm, 8 cm, and 17 cm form a right triangle?

Back

Yes, they form a right triangle because 15² + 8² = 17² (225 + 64 = 289).

Tags

CCSS.8.G.B.8

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