Question

A rectangle 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 1

Base is 7, and Height is 9.

Step-by-step - 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.

Answer 2

The base is 7 and the height is 9.

Step-by-step 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.

`Base = |6 - - 1| = |7| = 7`

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.

`Height= |1 - - 8| = |9| = 9`

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