Question

You are graphing rectangle A B C D in the coordinate plane. The following are three of the vertices of the rectangle A (-7,-2), B(3,-2) and C(3,-5). What are the coordinates of point D?

Answer 1

The coordinates of point D are (-7, -5).

Explanation:

Since ABCD is a rectangle, opposite sides are parallel and have the same length. We are given points A(-7, -2), B(3, -2), and C(3, -5).

We can find the length and direction of the sides AB and BC:

AB = B - A = (3 - (-7), -2 - (-2)) = (10, 0)

BC = C - B = (3 - 3, -5 - (-2)) = (0, -3)

Now, we can find the coordinates of point D by moving along the direction of side BC from point A:

D = A + (direction of BC) = (-7, -2) + (0, -3) = (-7, -5)

So, the coordinates of point D are (-7, -5).