Question

the figure is a parallelogram. one diagonal measures 28 units. is the figure a rectangle? explain. no, it is not a rectangle because the diagonals are congruent. no, it is not a rectangle because the sides of the parallelogram do not meet at right angles. yes, it is a rectangle because the diagonals are congruent. yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Explanation:

A rectangle is a parallelogram with four right - angles and congruent diagonals. In a parallelogram, just because one diagonal length is given and the sides have certain lengths does not mean the sides meet at right - angles. Also, we are not given that the diagonals are congruent. So, it is not a rectangle as the sides of the parallelogram do not meet at right angles.

Answer:

No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.