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Lesson: Geometry Challenging - 22t01

Distances On The Coordinate Plane

[Page 22 of 32]
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When two points have either the same x-coordinate or the same y-coordinate, we can find the distance between them by simply adding or subtracting the coordinates that vary.

Task: Find the distance between the two points above, type it into the text box, and then click Continue.

Distance = 18

Both marked points lie 7 units to the right of the y-axis. Therefore, they lie on a line parallel to the y-axis. This line is indicated in the above diagram by a dotted green line. To find the distance between them, we need to find the distance of the dotted line. The (7, 6) point is 6 units from the x-axis, and the (7, –12) point is 12 units from the y-axis. Therefore, the two points are 6 + 12 = 18 units away from each other.

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