Answer :
Let's systematically examine each of the properties given in the table and identify which quadrilaterals have those properties.
1. Opposite sides are congruent:
- Parallelogram
- Rhombus
- Rectangle
- Square
2. Diagonals are congruent:
- Rectangle
- Square
3. Diagonals are perpendicular:
- Rhombus
- Square
- Kite
4. Diagonals bisect opposite interior angles:
- Rhombus
- Square
5. Exactly one pair of opposite angles are congruent:
- Kite
6. Consecutive interior angles are supplementary:
- Parallelogram
- Rectangle
- Rhombus
- Square
Now, let's place each quadrilateral name in the correct location on the table:
\begin{tabular}{|c|c|}
\hline
\textbf{Opposite sides are congruent.} & \textbf{Diagonals are congruent.} \\
\hline
Parallelogram, Rhombus, Rectangle, Square & Rectangle, Square \\
\hline
\textbf{Diagonals are perpendicular.} & \textbf{Diagonals bisect opposite interior angles.} \\
\hline
Rhombus, Square, Kite & Rhombus, Square \\
\hline
\textbf{Exactly one pair of opposite angles are congruent.} & \textbf{Consecutive interior angles are supplementary.} \\
\hline
Kite & Parallelogram, Rectangle, Rhombus, Square \\
\hline
\end{tabular}
1. Opposite sides are congruent:
- Parallelogram
- Rhombus
- Rectangle
- Square
2. Diagonals are congruent:
- Rectangle
- Square
3. Diagonals are perpendicular:
- Rhombus
- Square
- Kite
4. Diagonals bisect opposite interior angles:
- Rhombus
- Square
5. Exactly one pair of opposite angles are congruent:
- Kite
6. Consecutive interior angles are supplementary:
- Parallelogram
- Rectangle
- Rhombus
- Square
Now, let's place each quadrilateral name in the correct location on the table:
\begin{tabular}{|c|c|}
\hline
\textbf{Opposite sides are congruent.} & \textbf{Diagonals are congruent.} \\
\hline
Parallelogram, Rhombus, Rectangle, Square & Rectangle, Square \\
\hline
\textbf{Diagonals are perpendicular.} & \textbf{Diagonals bisect opposite interior angles.} \\
\hline
Rhombus, Square, Kite & Rhombus, Square \\
\hline
\textbf{Exactly one pair of opposite angles are congruent.} & \textbf{Consecutive interior angles are supplementary.} \\
\hline
Kite & Parallelogram, Rectangle, Rhombus, Square \\
\hline
\end{tabular}