Question

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

Answer 1

Consider definitions of parallelogram, trapezoid, rectangle, kite and rhombus.

Parallelogram is a quadrilateral with two pairs of parallel opposite sides.

Trapezoid is a quadrilateral with one pair parallel opposite sides, trapezoid is not parallelogram, so option 1 is false.

Rectangle is a parallelogram with all angles right. Rectangle has diagonals that are congruent. Option 2 is true.

Kite is a quadrilateral with two pairs of congruent adjacent sides. Kite is not parallelogram, so option 3 is false.

Rhombus is a parallelogram with all sides congruent. The diagonals of the rhombus are not congruent, but they are perpindicular bisectors of each other. Option 4 is false.

Answer: correct choice is option 2

Answer 2

Answer: B - Rectangle