Regents Exam Properties of Quadrilaterals

In which quadrilateral are the diagonals always congruent?

• rectangle

• trapezoid

• rhombus

• parallelogram

If the diagonals of a parallelogram are perpendicular but NOT congruent, then the parallelogram is

• a rectangle

• a rhombus

• a square

• an isosceles trapezoid

Which quadrilateral must have congruent diagonals?

• trapezoid

• rectangle

• rhombus

• parallelogram

All of the following figures must have congruent diagonals except

• a rectangle

• a square

• an isosceles trapezoid

• a parallelogram

Which figure does not always have congruent diagonals?

• square

• rhombus

• rectangle

• isosceles trapezoid

A quadrilateral whose diagonals are always congruent is a

• parallelogram

• rectangle

• rhombus

• trapezoid

Which polygon must have congruent diagonals?

• rhombus

• square

• parallelogram

• trapezoid

A quadrilateral whose diagonals bisect each other and are perpendicular is a

• rhombus

• rectangle

• trapezoid

• parallelogram

If the diagonals of a quadrilateral do NOT bisect each other, then the quadrilateral could be a

• rectangle

• rhombus

• square

• trapezoid

Which reason could be used to prove that a parallelogram is a rhombus?

• Diagonals are congruent.

• Opposite sides are parallel.

• Diagonals are perpendicular.

• Opposite angles are congruent.