Question

Which of the following option(s) is/are true for properties of a parallelogram?

• A. Opposite sides are parallel to each other
• B. A parallelogram is a type of quadrilateral
• C. Parallel sides are equal in length
• D. Adjacent sides are equal in length

Answer 1

Answer: (A), (B), (C)

Parallel sides are equal in length

Let's draw a parallelogram ABCD.

The properties of a parallelogram are:

1. Opposite sides are parallel to each other
$\to$AB is parallel to CD and AC is parallel to BD

2. Parallel sides are equal in length
$\to$AB = CD and AC = BD

3. A parallelogram is a type of quadrilateral

4. Opposie sides are equal in parallelogram.
$\to$AB = CD and AC = BD
$\to$AB $\ne$ AC and CD $\ne$ BD

Hence, Option(d) is incorrect.