What is the distance between the points (6, 8) and (6, 2)?

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (6, 8)$ and $(x_2, y_2) = (6, 2)$. 2. Apply the formula: $$d = \sqrt{(6 - 6)^2 + (2 - 8)^2} = \sqrt{(0)^2 + (-6)^2} = \sqrt{0 + 36} = \sqrt{36} = 6$$ .

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

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (1, 2)$ and $(x_2, y_2) = (4, 6)$. 2. Apply the formula: $$d = \sqrt{(4 - 1)^2 + (6 - 2)^2} = \sqrt{(3)^2 + (4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5$$ .

What is the distance between the points (2, 3) and (5, 7)?

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (2, 3)$ and $(x_2, y_2) = (5, 7)$. 2. Apply the formula: $$d = \sqrt{(5 - 2)^2 + (7 - 3)^2} = \sqrt{(3)^2 + (4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5$$ .

What is the distance between the points (7, 1) and (3, 5)?

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (7, 1)$ and $(x_2, y_2) = (3, 5)$. 2. Apply the formula: $$d = \sqrt{(3 - 7)^2 + (5 - 1)^2} = \sqrt{(-4)^2 + (4)^2} = \sqrt{16 + 16} = \sqrt{32} = 4\sqrt{2}$$ .

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

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (0, 0)$ and $(x_2, y_2) = (0, 5)$. 2. Apply the formula: $$d = \sqrt{(0 - 0)^2 + (5 - 0)^2} = \sqrt{(0)^2 + (5)^2} = \sqrt{0 + 25} = \sqrt{25} = 5$$ .

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

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (1, 1)$ and $(x_2, y_2) = (1, 4)$. 2. Apply the formula: $$d = \sqrt{(1 - 1)^2 + (4 - 1)^2} = \sqrt{(0)^2 + (3)^2} = \sqrt{0 + 9} = \sqrt{9} = 3$$ .

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

Using the distance formula: 1. Identify the coordinates: $(x_1, y_1) = (2, 2)$ and $(x_2, y_2) = (5, 5)$. 2. Apply the formula: $$d = \sqrt{(5 - 2)^2 + (5 - 2)^2} = \sqrt{(3)^2 + (3)^2} = \sqrt{9 + 9} = \sqrt{18} = 3\sqrt{2}$$ .

Distance Between Points on the Coordinate Plane Flashcards

Student preview

14 questions

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1.

FLASHCARD QUESTION

Front

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

Back

2.

FLASHCARD QUESTION

Front

How do you find the distance between the points (5, 13) and (1, 3)?

Back

3.

FLASHCARD QUESTION

Front

What is the distance between the points (4, 8) and (0, 0)?

Back

4.

FLASHCARD QUESTION

Front

What is the distance between the points (8, 7) and (2, 3)?

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

What is the distance between the points (3, 4) and (3, 8)?

Back

7.

FLASHCARD QUESTION

Front

What is the distance between the points (0, 0) and (5, 12)?

Back

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