to each of the following, choose at least one word from parallelogram, rectangle. Thentus, trapezoid, kite, or square, so that the resulting sentence is true. If none of fatwords makes the sentence true, answer "none" \( \qquad \) a quadrilateral whose diagonals are equal and bisect each other. \( \qquad \) a quadrilateral whose diagonals are perpendicular and bisects each other. \( \qquad \) a quadrilateral whose diagonals are equal, perpendicular and they bisect each other. \( \qquad \) a quadrilateral whose pair of opposite sides is parallel and equal. 159

Let's analyze each statement one by one and choose the appropriate word(s) from the given options: parallelogram, rectangle, trapezoid, kite, or square. 1. **A quadrilateral whose diagonals are equal and bisect each other.** - This describes a **rectangle** or a **square**. Both have equal diagonals that bisect each other. - **Answer:** rectangle, square 2. **A quadrilateral whose diagonals are perpendicular and bisect each other.** - This describes a **kite** or a **square**. Kites have diagonals that are perpendicular and bisect each other. - **Answer:** kite, square 3. **A quadrilateral whose diagonals are equal, perpendicular and they bisect each other.** - This describes a **square**. A square has diagonals that are equal, perpendicular, and bisect each other. - **Answer:** square 4. **A quadrilateral whose pair of opposite sides is parallel and equal.** - This describes a **parallelogram**. Parallelograms have opposite sides that are both parallel and equal. - **Answer:** parallelogram In summary, the answers are: 1. rectangle, square 2. kite, square 3. square 4. parallelogram