Answered

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.

Names: trapezoid, kite, rhombus, rectangle, parallelogram, square

\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}



Answer :

GinnyAnswer
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.

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