Question

Diagonals of a parallelogram are perpendicular to each other. Is this statement true?
A. Yes
B. No
C. May be
D. Cannot be determined

Answer 1

Hint. Here we proceed with our solution with the help of definition of parallelogram and some basic properties of a quadrilateral which is required to be a parallelogram.

Complete step-by-step solution -
 There are six general and important properties of parallelograms to know:
       1.) Opposite sides are congruent (AB = DC).
       2.) Opposite angles are congruent (D = B).
       3.) Consecutive angles are supplementary (A + D = 180°).
       4.) If one angle is right, then all angles are right.
       5.) The diagonals of a parallelogram bisect each other.
       6.) Each diagonal of a parallelogram separates it into two congruent triangles

These properties do not say anything about the angle between diagonals . So
 diagonals may be perpendicular may be not.

Special types of parallelogram with perpendicular diagonals are square and rhombus.

So the correct answer is option C.

NOTE. The above mentioned question can be solved with the basic knowledge of the figures and how to solve them, as placing the right concept would help in finding out the required data. only with good basics would help you to solve such types of questions.