Calculate the midpoint of the points (-3, -4) and (3, 4).

The midpoint is: $$M = igg( \frac{-3 + 3}{2}, \frac{-4 + 4}{2} igg) = (0, 0)$$ .

What is the distance between the points (5, 5) and (5, 10)?

Using the distance formula: $$d = \text{sqrt}((5 - 5)^2 + (10 - 5)^2) = \text{sqrt}(0 + 25) = 5$$ .

Find the midpoint of the points (1, 2) and (1, 8).

The midpoint is: $$M = igg( \frac{1 + 1}{2}, \frac{2 + 8}{2} igg) = (1, 5)$$ .

What is the distance between the points (0, 0) and (0, 5)?

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

Calculate the distance between the points (-2, -3) and (2, 3).

Using the distance formula: $$d = \text{sqrt}((2 - (-2))^2 + (3 - (-3))^2) = \text{sqrt}(16 + 36) = \text{sqrt}(52) = 2\text{sqrt}(13)$$ .

Find the midpoint of the points (6, 8) and (2, 4).

The midpoint is: $$M = igg( \frac{6 + 2}{2}, \frac{8 + 4}{2} igg) = (4, 6)$$ .

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

Using the distance formula: $$d = \text{sqrt}((3 - 3)^2 + (-3 - 3)^2) = \text{sqrt}(0 + 36) = 6$$ .

V2 Distance And Midpoint Formula

V2-Distance and Midpoint Formula

Flashcard

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

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14 questions

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FLASHCARD QUESTION

Front

What is the distance formula for two points (x₁, y₁) and (x₂, y₂)?

Back

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

Find the midpoint of the points (0, 0) and (10, 10).

Back

FLASHCARD QUESTION

Front

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

Back

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