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Drag each name to the correct location on the table. Each name can be used more than once, but not all names will be used.

Determine which quadrilaterals have the properties given in the table.

- Parallelogram
- Rhombus
- Kite
- Square
- Rectangle
- Trapezoid

\begin{tabular}{|c|c|}
\hline Opposite sides are congruent. & Diagonals are congruent. \\
\hline \begin{tabular}{l} \end{tabular} & \begin{tabular}{l} \end{tabular} \\
\hline Diagonals are perpendicular. & Diagonals bisect opposite interior angles. \\
\hline \begin{tabular}{l} \end{tabular} & \begin{tabular}{l} \end{tabular} \\
\hline Exactly one pair of opposite angles are congruent. & Consecutive interior angles are supplementary. \\
\hline \begin{tabular}{l} \end{tabular} & \begin{tabular}{l} \end{tabular} \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
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}
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