Arectangle on a coordinate plane has vertices q(-1, 1),r(6, 1), s(6,-8), and t(-1,-8)what are the dimensions of the rectangle? the base is 6 and the height is 9. the base is 9 and the height is 6. the base is 7 and the height is 9. the base is 9 and the height is 7.

ANSWER

The base is 7 and the height is 9.

EXPLANATION

If we consider any two pairs of points and the y-coordinates of these two points are constant (are the same), then that side forms one of the bases of the rectangle.

Consider, Q(-1, 1) and R(6, 1)

The y-values are the same.

The base of the rectangle is the absolute value of difference in the x-values.

We could have also used S(6,-8), and T(-1,-8) to obtain the same result.

For R(6, 1) and S(6,-8), the x-coordinates are the same. The height is the absolute values of difference in the y-values.

Therefore, the base is 7 and the height is 9.

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