Finding Distance in the Coordinate Plane

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Answer explanation

Which equation correctly shows how to determine the distance between the points (9, –2) and (6, 3) on a coordinate grid?

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In the formula above, how does each subtraction expression relate to the Pythagorean theorem?

• Each subtraction expression represents the length of one leg of a right triangle with a hypotenuse of length d.

• Each subtraction expression represents the length of the hypotenuse of a right triangle with a leg of length d.

• Each subtraction expression represents half the length of the hypotenuse of a right triangle with a hypotenuse of length d.

• Each subtraction expression represents the square of the length of the hypotenuse of a right triangle with a hypotenuse of length d.

What is the length of segment AC?

What is the distance between the points (7, 8) and (–8, 0) on a coordinate grid?

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

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Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

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• 0

What is the distance between (–6, 2) and (8, 10) on a coordinate grid?

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Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6, 3). Which point on the y-axis could be on the edge of the circle if the distance from the center of the circle to the edge is 10 units?

• (0, –1)

• (0, 1)

• (0, 5)

• (0, –5)

What is the distance between points (3, -5) and (3, -8)?

• 1 unit

• 2 units

• 3 units

• 4 units