Answer :
Let's place each quadrilateral correctly in the table based on their properties.
### Opposite sides are congruent
Quadrilaterals that have opposite sides congruent are:
- Rhombus
- Rectangle
- Parallelogram
- Square
### Diagonals are congruent
Quadrilaterals that have diagonals congruent are:
- Rectangle
- Square
### Diagonals are perpendicular
Quadrilaterals that have diagonals perpendicular are:
- Kite
- Rhombus
- Square
### Diagonals bisect opposite interior angles
Quadrilaterals whose diagonals bisect opposite interior angles are:
- Rhombus
- Square
### Exactly one pair of opposite angles are congruent
Quadrilaterals with exactly one pair of opposite angles congruent are:
- Trapezoid
- Kite
### Consecutive interior angles are supplementary
Quadrilaterals with consecutive interior angles supplementary are:
- Rectangle
- Parallelogram
- Square
Using this information, we can fill in the table as follows:
[tex]\[ \begin{array}{|c|c|} \hline \text{Opposite sides are congruent.} & \text{Diagonals are congruent.} \\ \hline \begin{array}{l} \text{Rhombus} \\ \text{Rectangle} \\ \text{Parallelogram} \\ \text{Square} \\ \end{array} & \begin{array}{l} \text{Rectangle} \\ \text{Square} \\ \end{array} \\ \hline \text{Diagonals are perpendicular.} & \text{Diagonals bisect opposite interior angles.} \\ \hline \begin{array}{l} \text{Kite} \\ \text{Rhombus} \\ \text{Square} \\ \end{array} & \begin{array}{l} \text{Rhombus} \\ \text{Square} \\ \end{array} \\ \hline \begin{array}{l} \text{Exactly one pair of opposite angles are congruent.} \\ \newline \end{array} & \begin{array}{l} \text{Consecutive interior angles are supplementary.} \\ \newline \end{array} \\ \hline \begin{array}{l} \text{Trapezoid} \\ \text{Kite} \\ \end{array} & \begin{array}{l} \text{Rectangle} \\ \text{Parallelogram} \\ \text{Square} \\ \end{array} \\ \hline \end{array} \][/tex]
This table accurately places each quadrilateral in the appropriate categories based on the given properties.
### Opposite sides are congruent
Quadrilaterals that have opposite sides congruent are:
- Rhombus
- Rectangle
- Parallelogram
- Square
### Diagonals are congruent
Quadrilaterals that have diagonals congruent are:
- Rectangle
- Square
### Diagonals are perpendicular
Quadrilaterals that have diagonals perpendicular are:
- Kite
- Rhombus
- Square
### Diagonals bisect opposite interior angles
Quadrilaterals whose diagonals bisect opposite interior angles are:
- Rhombus
- Square
### Exactly one pair of opposite angles are congruent
Quadrilaterals with exactly one pair of opposite angles congruent are:
- Trapezoid
- Kite
### Consecutive interior angles are supplementary
Quadrilaterals with consecutive interior angles supplementary are:
- Rectangle
- Parallelogram
- Square
Using this information, we can fill in the table as follows:
[tex]\[ \begin{array}{|c|c|} \hline \text{Opposite sides are congruent.} & \text{Diagonals are congruent.} \\ \hline \begin{array}{l} \text{Rhombus} \\ \text{Rectangle} \\ \text{Parallelogram} \\ \text{Square} \\ \end{array} & \begin{array}{l} \text{Rectangle} \\ \text{Square} \\ \end{array} \\ \hline \text{Diagonals are perpendicular.} & \text{Diagonals bisect opposite interior angles.} \\ \hline \begin{array}{l} \text{Kite} \\ \text{Rhombus} \\ \text{Square} \\ \end{array} & \begin{array}{l} \text{Rhombus} \\ \text{Square} \\ \end{array} \\ \hline \begin{array}{l} \text{Exactly one pair of opposite angles are congruent.} \\ \newline \end{array} & \begin{array}{l} \text{Consecutive interior angles are supplementary.} \\ \newline \end{array} \\ \hline \begin{array}{l} \text{Trapezoid} \\ \text{Kite} \\ \end{array} & \begin{array}{l} \text{Rectangle} \\ \text{Parallelogram} \\ \text{Square} \\ \end{array} \\ \hline \end{array} \][/tex]
This table accurately places each quadrilateral in the appropriate categories based on the given properties.