Question

Which of the following statements are always true of parallelograms?

It is a quadrilateral.
It has right angles.
Both pairs of opposite sides are parallel.
The sides are all the same lengths.
All four angles are congruent.

Answer 1

the first and third statements are true

Answer 2

It is a quadrilateral and Both pairs of opposite sides are parallel are the correct answer.

Explanation:

The parallelogram is a quadrilateral with opposite sides of a parallelogram are parallel.

properties of parallelogram :

• Two sets of Opposite sides are of equal length and opposite angles are equal in measure.

• Two diagonals are there in parallelogram which meet at their middle point
• Every diagonal bisects the quadrilateral in pair congruent triangles.
• Adjacent angles in a quadrilateral are always supplementary.

Examples of parallelograms are

• Rhomboid

• rectangles

• squares

• rhombuses