Answer :
Sure, I'll organize the quadrilaterals according to the given properties in the table.
### 1. Opposite sides are congruent
The quadrilaterals that have congruent opposite sides are:
- Square
- Rectangle
- Rhombus
- Parallelogram
### 2. Diagonals are congruent
The quadrilaterals that have congruent diagonals are:
- Square
- Rectangle
### 3. Diagonals are perpendicular
The quadrilaterals that have perpendicular diagonals are:
- Square
- Rhombus
- Kite
### 4. Diagonals bisect opposite interior angles
The quadrilaterals that have diagonals that bisect opposite interior angles are:
- Square
- Rhombus
### 5. Exactly one pair of opposite angles are congruent
The quadrilateral that has exactly one pair of opposite angles congruent is:
- Kite
### 6. Consecutive interior angles are supplementary
The quadrilaterals that have consecutive interior angles that are supplementary are:
- Square
- Rectangle
- Parallelogram
So, the table with quadrilaterals distributed according to their properties would look like:
\begin{tabular}{|c|c|}
\hline Opposite sides are congruent & Diagonals are congruent \\
\hline
Square, Rectangle, Rhombus, Parallelogram & Square, Rectangle \\
\hline Diagonals are perpendicular & Diagonals bisect opposite interior angles \\
\hline
Square, Rhombus, Kite & Square, Rhombus \\
\hline Exactly one pair of opposite angles are congruent & Consecutive interior angles are supplementary \\
\hline
Kite & Square, Rectangle, Parallelogram \\
\hline
\end{tabular}
So the completed table would be:
\begin{tabular}{|c|c|}
\hline Opposite sides are congruent & Diagonals are congruent \\
\hline
Square, Rectangle, Rhombus, Parallelogram & Square, Rectangle \\
\hline Diagonals are perpendicular & Diagonals bisect opposite interior angles \\
\hline
Square, Rhombus, Kite & Square, Rhombus \\
\hline Exactly one pair of opposite angles are congruent & Consecutive interior angles are supplementary \\
\hline
Kite & Square, Rectangle, Parallelogram \\
\hline
\end{tabular}
This matches each quadrilateral with its respective properties.
### 1. Opposite sides are congruent
The quadrilaterals that have congruent opposite sides are:
- Square
- Rectangle
- Rhombus
- Parallelogram
### 2. Diagonals are congruent
The quadrilaterals that have congruent diagonals are:
- Square
- Rectangle
### 3. Diagonals are perpendicular
The quadrilaterals that have perpendicular diagonals are:
- Square
- Rhombus
- Kite
### 4. Diagonals bisect opposite interior angles
The quadrilaterals that have diagonals that bisect opposite interior angles are:
- Square
- Rhombus
### 5. Exactly one pair of opposite angles are congruent
The quadrilateral that has exactly one pair of opposite angles congruent is:
- Kite
### 6. Consecutive interior angles are supplementary
The quadrilaterals that have consecutive interior angles that are supplementary are:
- Square
- Rectangle
- Parallelogram
So, the table with quadrilaterals distributed according to their properties would look like:
\begin{tabular}{|c|c|}
\hline Opposite sides are congruent & Diagonals are congruent \\
\hline
Square, Rectangle, Rhombus, Parallelogram & Square, Rectangle \\
\hline Diagonals are perpendicular & Diagonals bisect opposite interior angles \\
\hline
Square, Rhombus, Kite & Square, Rhombus \\
\hline Exactly one pair of opposite angles are congruent & Consecutive interior angles are supplementary \\
\hline
Kite & Square, Rectangle, Parallelogram \\
\hline
\end{tabular}
So the completed table would be:
\begin{tabular}{|c|c|}
\hline Opposite sides are congruent & Diagonals are congruent \\
\hline
Square, Rectangle, Rhombus, Parallelogram & Square, Rectangle \\
\hline Diagonals are perpendicular & Diagonals bisect opposite interior angles \\
\hline
Square, Rhombus, Kite & Square, Rhombus \\
\hline Exactly one pair of opposite angles are congruent & Consecutive interior angles are supplementary \\
\hline
Kite & Square, Rectangle, Parallelogram \\
\hline
\end{tabular}
This matches each quadrilateral with its respective properties.