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Question

Diagonals of a parallelogram are perpendicular to each other. Is this statement true?
77968_dc99c1e397f44e81aefe7179b7406eda.png
  1. Yes
  2. No
  3. May be
  4. Cannot be determined

A
Cannot be determined
B
Yes
C
No
D
May be
Solution
Verified by Toppr

There are six general and important properties of parallelograms to know:

There are six important properties of parallelograms to know:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

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

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

So correct answer is option is C

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