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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.

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

\begin{tabular}{|c|c|}
\hline
Opposite sides are congruent. & Diagonals are congruent. \\
\hline
& \\
\hline
Diagonals are perpendicular. & Diagonals bisect opposite interior angles. \\
\hline
& \\
\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
& \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
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.
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