How do you find the distance between two points on a coordinate plane?

You apply the distance formula: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

What is the midpoint of the line segment connecting the points (0, 0) and (6, 8)?

Using the midpoint formula: $$M = igg( \frac{0 + 6}{2}, \frac{0 + 8}{2} igg) = (3, 4)$$ .

Calculate the distance between the points (5, 5) and (5, -5).

Using the distance formula: $$d = \text{sqrt}((5 - 5)^2 + (-5 - 5)^2) = \text{sqrt}(0 + 100) = 10$$ .

What is the formula for calculating the distance between two points in a three-dimensional space?

The distance formula in 3D is: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)$$ .

Find the midpoint of the points (-3, -2) and (3, 2).

Using the midpoint formula: $$M = igg( \frac{-3 + 3}{2}, \frac{-2 + 2}{2} igg) = (0, 0)$$ .

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

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

Explain how to find the distance between two points on a graph.

To find the distance, identify the coordinates of the points, then apply the distance formula: $$d = \text{sqrt}((x2 - x1)^2 + (y2 - y1)^2)$$ .

What is the midpoint of the points (1, 3) and (7, 9)?

Using the midpoint formula: $$M = igg( \frac{1 + 7}{2}, \frac{3 + 9}{2} igg) = (4, 6)$$ .

Distance and Midpoint Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.HSG.GPE.B.7

2.

FLASHCARD QUESTION

Front

What is the midpoint formula used to find the midpoint between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.HSG.GPE.B.6

3.

FLASHCARD QUESTION

Front

Calculate the distance between the points (3, 4) and (7, 1).

Back

Tags

CCSS.HSG.GPE.B.7

4.

FLASHCARD QUESTION

Front

Find the midpoint of the points (2, 3) and (4, 7).

Back

Tags

CCSS.HSG.GPE.B.6

5.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.GPE.B.7

6.

FLASHCARD QUESTION

Front

If the coordinates of point A are (1, 2) and point B are (4, 6), what is the distance between them?

Back

Tags

CCSS.HSG.GPE.B.7

7.

FLASHCARD QUESTION

Front

What is the significance of the distance formula in geometry?

Back

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

Tags

CCSS.HSG.GPE.B.7

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