Properties of Quadrilaterals

Fill in the blank with always, sometimes, or never: One base of an isosceles trapezoid is ________________ congruent to the legs.

• Always

• Sometimes

• Never

The perimeter of the trapezoid is 50. Solve for x.

• x = 4

• x = -5

• x = 4.6

• x = 2

The figure shown is a parallelogram. Solve for x.

• x = 180

• x = 10

• No solution

• x = 90

If the diagonals of a quadrilateral are perpendicular, then the quadrilateral is _________________ a rhombus.

• Always

• Sometimes

• Never

Khryee cut a quadrilateral out of a piece of card stock, but he is not sure if the figure is a parallelogram or a rhombus. He measures the lengths of the opposite sides and determines them to be congruent. He measures the opposite angles of the quadrilateral and determines them to also be congruent. He measures one angle and is able to determine that the quadrilateral is a rhombus. What angle did he measure?

• 90°

• 60°

• 120°

• 45°

Ronald has a picture in the shape of a quadrilateral that he cut out of a magazine. How could Ronald use a ruler to prove that the picture is a parallelogram?

• Measure the diagonals

• Measure the opposite sides

• Measure the angles

• Measure the perimeter

Fill in the blank: Opposite angles are _______ in a parallelogram, so both pairs of opposite angles must be congruent.

• equal

• supplementary

• complementary

• different

Which quadrilateral has diagonals that bisect each other at right angles?

• Rectangle

• Rhombus

• Parallelogram

• Kite

Which quadrilateral has diagonals that are equal and bisect each other at right angles?

• Rectangle

• Square

• Rhombus

• Kite

Which quadrilateral(s) have two distinct pairs of congruent adjacent sides? Select all that apply.

• Kite

• Trapezoid

• Parallelogram

• Rhombus

• Rectangle