Parts of a circle and properties of quadrilaterals

Fill in the blank: A central angle has its vertex at the _______ of the circle.

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?

Sally plans to make the base of her sculpture in the shape of a rhombus. She cuts out four pieces of wood to create a mold for concrete. The pieces of wood are the following lengths: 5 inches, 5 inches, 3 inches, and 3 inches. Will the base of Sally’s sculpture be a rhombus?

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?

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

Which of the following quadrilaterals has diagonals that are perpendicular but not necessarily equal?

Which of the following is true about the angles of a rectangle?

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

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

Match the following part of the circle with its correct label.