Pythagorean Theorem and Distance Formula

Pythagorean Theorem and Distance Formula

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

CCSS
8.G.B.8, HSG.GPE.B.7, 8.G.B.7

+4

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). Formula: a² + b² = c².

Tags

CCSS.8.G.B.8

2.

FLASHCARD QUESTION

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Use the Distance Formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

3.

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

4.

FLASHCARD QUESTION

Front

If one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.

Tags

CCSS.8.G.B.7

5.

FLASHCARD QUESTION

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

6.

FLASHCARD QUESTION

Front

What is the formula for finding the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

7.

FLASHCARD QUESTION

Front

In a right triangle, if one angle is 90 degrees, what are the other two angles?

Back

The other two angles must add up to 90 degrees, making them complementary.

Tags

CCSS.7.G.B.5

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