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Laabri

Coordinate Geometry: Distance Formula

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Last updated almost 5 years ago
12 Nsɛmmisa
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Find the length of each segment using the Pythagorean Theorem technique from above.

This time, you must first graph each pair of points on the coordinate plane.

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Let's Practice using the Distance Formula!

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Find the length of each segment by using the segment as the hypotenuse of a right triangle:

Draw the triangle's legs along the grid lines.

Count the squares on the horizontal and vertical legs.

Use the Pythagorean Theorem to find the length of the hypotenuse.

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1.

Determine the distance between the two points.

Show your work in the space provided. Write your solution in simplified radical form.

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2.

Determine the distance between the two points.

Show your work in the space provided. Write your solution in simplified radical form.

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3.

Determine the distance between (-9, -6) and (3, 10). Show your work in the space provided.

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4.

Determine the distance between (1, 3) and (7, 5).

Show your work in the space provided. Write your solution in simplified radical form.

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5.

Write an expression for the length of the horizontal leg using the x-coordinates.

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6.

Write an expression for the length of the vertical leg using the y-coordinates.

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7.

Use your expressions from #5 and #6 along with the Pythagorean Theorem to SELECT ALL TRUE STATEMENTS related to the distance (d) between A(15, 34) and B(42, 70).

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8.

Let's generalize what you have learned about the distance between two points in a coordinate plane.

Consider the Distance Formula below...

Then SELECT ALL TRUE STATEMENTS related to the distance (d) between A(x_1, y_1) and B(x_2, y_2).

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9.

Find the distance between each pair of points using the Distance Formula.

Show all work in the space provided.

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10.

Find the distance between each pair of points using the Distance Formula.

Show all work in the space provided.

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11.

Find the distance between each pair of points using the Distance Formula.

Show all work in the space provided. Write your solution in simplified radical form.

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12.

Find the distance between each pair of points using the Distance Formula.

Show all work in the space provided. Write your solution in simplified radical form.