MATH SOLVE

2 months ago

Q:
# The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.A. No, it is not a rectangle because the diagonals are congruent.B. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.C. Yes, it is a rectangle because the diagonals are congruent.D. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

Accepted Solution

A:

Answer:(B)Step-by-step explanation:From the given figure, we can see that the opposite sides of the given quadrilateral are congruent but they do not meet at right angles because there is no right angle marked on the given figure, thus the given quadrilateral cannot be rectangle (by the definition).Therefore, No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.Also, only one diagonal of measure 28 is given, no other diagonal is given, thus rest of the options do not hold.