Properties and Conditions for Parallelograms

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

• True

• False

A parallelogram is a quadrilateral where ONLY ONE of its opposite sides is parallel.

• True

• False

The diagonals of a parallelogram bisect each other.

• True

• False

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

• True

• False

Consecutive angles in parallelogram are complementary (A + D =90°).

• True

• False

Select the correct statement/s.

I. Diagonals of a parallelogram bisect the opposite angles.

II. Diagonals of a parallelogram divide it into four congruent triangles.

III. Opposite sides of a parallelogram are congruent and parallel.

• a.III only

• b.II, & III only

• c.I, & III only

• d.I, II, and III

Select the correct statement/s.

I. Both the diagonals of a rectangle, a square and a rhombus are equal.

II. One of the diagonals of a kite is perpendicular bisector of the other.

III. Diagonals of a rectangle are perpendicular to each other.

• a. 1 only

• b. 2 only

• c. 3 only

• d. All are correct

Which of the following is / are correct with respect to a parallelogram?

I. Diagonals bisect each other.

II. Adjacent angles are supplementary.

III. Opposite sides are congruent and parallel.

• a. I only

• b. I, II, and III

• c. II only

• d. III only

Which of the following statements is true?

• a. The diagonals of a rhombus are equal.

• b. Every square is a rhombus.

• c. The diagonals of a rectangle are perpendicular to each other.

• d. The diagonals of a parallelogram are equal.

Which of the following statement is not correct?

• a. Every rhombus is a parallelogram.

• b. Every parallelogram is a rectangle.

• c. Every square is a parallelogram.

• d. Every rectangle is a parallelogram