Aparallelogram has vertices a(0,4), b(2, 2), c(4,4),

and d(26) is this parallelogram a square? explain why

or why not

yes, parallelogram ABCD is a square.

Step-by-step explanation:

Given information: ABCD is parallelogram with vertices A(0,4), B(2, 2), C(4,4), and D(2,6).

We need to check whether this parallelogram is a square or not.

The opposite side of a parallelogram are parallel and congruent. If the interior angles a parallelogram are right angles then the parallelogram is square.

Formula for slope:

Now, find the slopes of each side.

The product of slopes of two perpendicular line is -1.

The product of slopes of any two consecutive sides is -1. It means all interior angles are right angle.

Therefore, the parallelogram ABCD is a square.

600,000,000,000, or 6e14

step-by-step explanation: