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Determine which quadrilaterals have the properties given in the table.

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

| Property | Quadrilateral |
|---|---|
| Opposite sides are congruent | |
| Diagonals are congruent | |
| Diagonals are perpendicular | |
| Diagonals bisect opposite interior angles | |
| Exactly one pair of opposite angles are congruent | |
| Consecutive interior angles are supplementary | |

Sagot :

GinnyAnswer
Sure, let's assign the correct quadrilaterals to each property given in the table. Here is the step-by-step solution:

1. Opposite sides are congruent:
- Rhombus
- Rectangle
- Square
- Parallelogram

2. Diagonals are congruent:
- Rectangle
- Square

3. Diagonals are perpendicular:
- Rhombus
- Kite
- Square

4. Diagonals bisect opposite interior angles:
- Rhombus
- Square

5. Exactly one pair of opposite angles are congruent:
- Kite

6. Consecutive interior angles are supplementary:
- Rectangle
- Square
- Parallelogram

So, when this information is filled into the table as described:

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