Question

Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD. Opposite sides of a parallelogram have the same length. Draw the parallelogram in the coordinate plane and label the coordinates of the fourth point.

Answer 1

Given:

Points A(-2,-3),B(-2,4),and C(3,6) are three vertices of parallelogram ABCD.

As we know, the opposite sides of the parallelogram are parallel and congruent

To draw the parallelogram, we will draw the points and connect the sides

AB, AC, and BC

then, draw two lines parallel to AB from C and BC from A, the intersection will give the point D

The graph of the parallelogram will be as shown in the following picture

As shown the coordinates of the fourth point D = (3, -1)