Classifying Quadrilaterals worksheet for students to identify properties and names of geometric shapes.

I will solve this worksheet by analyzing each quadrilateral shape and filling in the table with the correct properties. I'll go through each shape one by one.

First Shape: Rectangle

- How many right angles? A rectangle has 4 right angles.
- How many pairs of equal length? A rectangle has 2 pairs of equal-length sides (opposite sides are equal).
- How many pairs of parallel sides? A rectangle has 2 pairs of parallel sides (opposite sides are parallel).
- Circle the word(s) that describe(s): This shape can be described as a SQUARE, RECTANGLE, PARALLELOGRAM, and QUADRILATERAL. However, since it's not a square (sides are not all equal), we should circle RECTANGLE, PARALLELOGRAM, and QUADRILATERAL.

Second Shape: Rhombus (or Diamond)

- How many right angles? A rhombus typically has 0 right angles unless it is a square.
- How many pairs of equal length? A rhombus has 4 sides of equal length, so there are 2 pairs of equal-length sides (actually all sides are equal, but we count pairs).
- How many pairs of parallel sides? A rhombus has 2 pairs of parallel sides.
- Circle the word(s) that describe(s): This shape can be described as a RHOMBUS, PARALLELOGRAM, and QUADRILATERAL.

Third Shape: Trapezoid

- How many right angles? This trapezoid appears to have 0 right angles.
- How many pairs of equal length? This trapezoid has 1 pair of equal-length sides (the non-parallel sides are equal, making it an isosceles trapezoid).
- How many pairs of parallel sides? A trapezoid has 1 pair of parallel sides.
- Circle the word(s) that describe(s): This shape can be described as a TRAPEZOID and QUADRILATERAL.

Fourth Shape: Square

- How many right angles? A square has 4 right angles.
- How many pairs of equal length? A square has 4 sides of equal length, so there are 2 pairs of equal-length sides (all sides are equal).
- How many pairs of parallel sides? A square has 2 pairs of parallel sides.
- Circle the word(s) that describe(s): This shape can be described as a SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, and QUADRILATERAL.

Fifth Shape: Parallelogram

- How many right angles? A parallelogram typically has 0 right angles unless it is a rectangle or square.
- How many pairs of equal length? A parallelogram has 2 pairs of equal-length sides (opposite sides are equal).
- How many pairs of parallel sides? A parallelogram has 2 pairs of parallel sides.
- Circle the word(s) that describe(s): This shape can be described as a PARALLELOGRAM and QUADRILATERAL.

Now, let me fill in the table with these answers.

Final Answer:

| FIGURE | How many right angles? | How many pairs of equal length? | How many pairs of parallel sides? | Circle the word(s) that describe(s) |
|--------|-------------------------|----------------------------------|-----------------------------------|-------------------------------------|
| Rectangle | 4 | 2 | 2 | RECTANGLE, PARALLELOGRAM, QUADRILATERAL |
| Rhombus | 0 | 2 | 2 | RHOMBUS, PARALLELOGRAM, QUADRILATERAL |
| Trapezoid | 0 | 1 | 1 | TRAPEZOID, QUADRILATERAL |
| Square | 4 | 2 | 2 | SQUARE, RECTANGLE, RHOMBUS, PARALLELOGRAM, QUADRILATERAL |
| Parallelogram | 0 | 2 | 2 | PARALLELOGRAM, QUADRILATERAL |

This completes the classification of the quadrilaterals based on their properties.