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

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

What is the formula to find the length of a diagonal in a rectangle?

The length of a diagonal can be found using the distance formula between two opposite corners of the rectangle.

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

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

Find the midpoint of the line segment with endpoints (6, 8) and (10, 12).

Using the midpoint formula: $$M = \\left(\frac{6 + 10}{2}, \frac{8 + 12}{2}\right) = (8, 10)$$ .

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

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

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

The formula is $$d = \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ .

If the midpoint of a line segment is (5, 5) and one endpoint is (3, 7), what is the other endpoint?

Let the other endpoint be (x, y). Using the midpoint formula: $$(5, 5) = \\left(\frac{3 + x}{2}, \frac{7 + y}{2}\right) \\Rightarrow 5 = \frac{3 + x}{2} \\Rightarrow 10 = 3 + x \\Rightarrow x = 7 \\text{ and } 5 = \frac{7 + y}{2} \\Rightarrow 10 = 7 + y \\Rightarrow y = 3$$ . The other endpoint is (7, 3).

Resource Library

Math

Geometry

Distance And Midpoint

Distance And Midpoint Formula Review

Distance and Midpoint Formula Review

Flashcard

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Mathematics

•

8th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is the distance formula?

Back

FLASHCARD QUESTION

Front

What is the midpoint formula?

Back

FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

Find the midpoint of the line segment with endpoints (2, 3) and (4, 7).

Back

FLASHCARD QUESTION

Front

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

Back

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, which is fundamental in geometry.

FLASHCARD QUESTION

Front

If the distance between points A(1, 2) and B(x, 5) is 5, what is x?

Back

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