McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
2. Parallelograms
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Exercise 57 Page 493

Plot the given points in the coordinate plane. Then, connect them to create a parallelogram.

Side or diagonal? Side
Slope: 3

Practice makes perfect

Let's begin with plotting the given points in one coordinate plane and connecting them to create a parallelogram.

Now, we are asked whether segment YZ is a side or a diagonal. Let's highlight it on our picture.

As we can see from the picture, the segment YZ is a side of this parallelogram. Now, let's recall that the slope of the segment is the change in y-values, rise, divided by the change in x-values, run.

As we move 1 unit in the positive horizontal direction, the y-value increases by 3 units. With this, we can find the slope. Slope=rise/run=3/1=3 The slope of this segment is 3.