(2.)are not opposite reciprocals

(1.)are not equal
(2.) are not opposite reciprocals
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The slope of AB is ...

... slope = (change in y)/(change in x) = (-6-(-3))/(8-2) = -3/6 = -1/2

The slope of AD is ...

... slope = (change in y)/(change in x) = (0 -(-3))/(8 -2) = 3/6 = 1/2

We note that the differences have the same magnitudes in both cases (y changes by 6; x changes by 3). This tells us the line segments are the same length. (Each side of the figure is equivalent to the hypotenuse of a right triangle with legs 3 and 6.)

The opposite reciprocal of a number is found by dividing -1 by that number. Thus the opposite reciprocal of the slope of AB is ...

... -1/(-1/2) = (-1/1)·(-2/1) = 2

This value is not the same as the slope of AD, so the slopes are NOT opposite reciprocals.

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Plotting the points, we see that we have a rhombus, not a rectangle (or square).

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step-by-step explanation:

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step-by-step explanation: