What is the significance of the distance formula in geometry?

The distance formula is used to determine the length of a line segment between two points in the coordinate plane.

What is the relationship between the distance formula and the Pythagorean theorem?

The distance formula is derived from the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

How can you use the distance formula to determine if points are the same?

If the distance calculated using the distance formula is 0, the points are the same.

What is the distance between the points (1, 2) and (1, 5)?

Using the distance formula: $$d = \sqrt{(1 - 1)^2 + (5 - 2)^2} = \sqrt{0 + 9} = \sqrt{9} = 3$$ .

What is the distance between the points (0, 0) and (6, 8)?

Using the distance formula: $$d = \sqrt{(6 - 0)^2 + (8 - 0)^2} = \sqrt{36 + 64} = \sqrt{100} = 10$$ .

What is the distance between the points (2, 2) and (5, 5)?

Using the distance formula: $$d = \sqrt{(5 - 2)^2 + (5 - 2)^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}$$ .

What is the distance between the points (-3, -4) and (0, 0)?

Using the distance formula: $$d = \sqrt{(0 - (-3))^2 + (0 - (-4))^2} = \sqrt{9 + 16} = \sqrt{25} = 5$$ .

What is the distance between the points (7, 1) and (4, 5)?

Using the distance formula: $$d = \sqrt{(4 - 7)^2 + (5 - 1)^2} = \sqrt{9 + 16} = \sqrt{25} = 5$$ .

Resource Library

Math

Geometry

Distance On The Coordinate Plane

Distance on the Coordinate Plane

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.GPE.B.7, 6.G.A.3

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the distance formula for two points in the coordinate plane?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

How do you find the distance between the points (1, 2) and (4, 6)?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the distance between the points (-1, -1) and (2, 3)?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the distance between the points (5, 1) and (1, 5)?

Back

Tags

CCSS.HSG.GPE.B.7

FLASHCARD QUESTION

Front

What is the distance between the points (3, 4) and (3, 4)?

Back

Tags

CCSS.HSG.GPE.B.7

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