Classifying Quadrilaterals by mikao · Ninja Plans - Free Printable

Problem Analysis:

The task involves classifying quadrilaterals based on their properties. Specifically, we need to determine:
1. How many right angles each shape has.
2. How many pairs of parallel sides each shape has.
3. How many pairs of equal-length sides each shape has.
4. Based on these properties, identify which words from the list (SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, TRAPEZOID, QUADRILATERAL) describe each shape.

Step-by-Step Solution:

#### Shape 1:
- Figure: A rectangle.
- Right Angles: A rectangle has 4 right angles.
- Pairs of Parallel Sides: A rectangle has 2 pairs of parallel sides.
- Pairs of Equal-Length Sides: A rectangle has 2 pairs of equal-length sides (opposite sides are equal).
- Classification: The shape is a RECTANGLE and also a QUADRILATERAL.

| FIGURE | How many right angles? | How many pairs of equal length | How many pairs of parallel sides? | Circle the words(s) that describes(s) |
|--------|-------------------------|--------------------------------|------------------------------------|---------------------------------------|
| | 4 | 2 | 2 | RECTANGLE, QUADRILATERAL |

#### Shape 2:
- Figure: A rhombus.
- Right Angles: A rhombus does not necessarily have right angles unless it is a square. Here, it has 0 right angles.
- Pairs of Parallel Sides: A rhombus has 2 pairs of parallel sides.
- Pairs of Equal-Length Sides: A rhombus has 2 pairs of equal-length sides (all four sides are equal).
- Classification: The shape is a RHOMBUS and also a PARALLELOGRAM and a QUADRILATERAL.

| FIGURE | How many right angles? | How many pairs of equal length | How many pairs of parallel sides? | Circle the words(s) that describes(s) |
|--------|-------------------------|--------------------------------|------------------------------------|---------------------------------------|
| | 0 | 2 | 2 | RHOMBUS, PARALLELOGRAM, QUADRILATERAL |

#### Shape 3:
- Figure: A trapezoid.
- Right Angles: A trapezoid does not necessarily have right angles unless specified. Here, it has 0 right angles.
- Pairs of Parallel Sides: A trapezoid has 1 pair of parallel sides.
- Pairs of Equal-Length Sides: A trapezoid does not necessarily have equal-length sides unless specified. Here, it has 0 pairs of equal-length sides.
- Classification: The shape is a TRAPEZOID and also a QUADRILATERAL.

| FIGURE | How many right angles? | How many pairs of equal length | How many pairs of parallel sides? | Circle the words(s) that describes(s) |
|--------|-------------------------|--------------------------------|------------------------------------|---------------------------------------|
| | 0 | 0 | 1 | TRAPEZOID, QUADRILATERAL |

#### Shape 4:
- Figure: A square.
- Right Angles: A square has 4 right angles.
- Pairs of Parallel Sides: A square has 2 pairs of parallel sides.
- Pairs of Equal-Length Sides: A square has 2 pairs of equal-length sides (all four sides are equal).
- Classification: The shape is a SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, and a QUADRILATERAL.

| FIGURE | How many right angles? | How many pairs of equal length | How many pairs of parallel sides? | Circle the words(s) that describes(s) |
|--------|-------------------------|--------------------------------|------------------------------------|---------------------------------------|
| | 4 | 2 | 2 | SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, QUADRILATERAL |

#### Shape 5:
- Figure: A parallelogram.
- Right Angles: A parallelogram does not necessarily have right angles unless it is a rectangle or square. Here, it has 0 right angles.
- Pairs of Parallel Sides: A parallelogram has 2 pairs of parallel sides.
- Pairs of Equal-Length Sides: A parallelogram has 2 pairs of equal-length sides (opposite sides are equal).
- Classification: The shape is a PARALLELOGRAM and also a QUADRILATERAL.

| FIGURE | How many right angles? | How many pairs of equal length | How many pairs of parallel sides? | Circle the words(s) that describes(s) |
|--------|-------------------------|--------------------------------|------------------------------------|---------------------------------------|
| | 0 | 2 | 2 | PARALLELOGRAM, QUADRILATERAL |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|c|}
\hline
\text{FIGURE} & \text{How many right angles?} & \text{How many pairs of equal length} & \text{How many pairs of parallel sides?} & \text{Circle the words(s) that describes(s)} \\
\hline
& 4 & 2 & 2 & \text{RECTANGLE, QUADRILATERAL} \\
\hline
& 0 & 2 & 2 & \text{RHOMBUS, PARALLELOGRAM, QUADRILATERAL} \\
\hline
& 0 & 0 & 1 & \text{TRAPEZOID, QUADRILATERAL} \\
\hline
& 4 & 2 & 2 & \text{SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, QUADRILATERAL} \\
\hline
& 0 & 2 & 2 & \text{PARALLELOGRAM, QUADRILATERAL} \\
\hline
\end{array}
}
\]