Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
7. Distance on the Coordinate Plane
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Exercise 23 Page 438

The x-coordinate represents the horizontal shift, starting from the origin, and the y-coordinate represents the vertical shift.

Practice makes perfect

We are asked to graph the given points on the coordinate plane, connect them, and identify the figure drawn. Let's start by graphing point A(0,0). Note that this point is the origin of the coordinate plane.

The coordinate plane
To graph the points B, C, and D, let's recall that an ( x, y) ordered pair is plotted in a coordinate plane by finding the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis. For point B( - 3, 4), this means moving three units in the negative horizontal direction starting from the origin, then four units in the positive vertical direction.
The coordinate plane

To graph point C( 3, 4), we need to move three units in the positive horizontal direction starting from the origin, then four units in the positive vertical direction.

The coordinate plane

Finally, we will graph point D( 3, 0) by moving three units in the positive horizontal direction starting from the origin.

The coordinate plane

Now we can connect the points by drawing four segments, which are AB, BC, CD, and DA.

The coordinate plane

We got a quadrilateral with one pair of parallel sides and two right angles. This means that the figure that we got is a right trapezoid.