Polygons Attributes Worksheet - Free Printable

Let's solve this step by step.

We are asked to complete a chart for various polygons, filling in:

- Number of sides
- Number of parallel sides
- Number of angles

Then answer two additional questions.

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Step 1: Understand each shape

#### Trapezoid
- Sides: 4 (a quadrilateral)
- Parallel sides: Exactly 1 pair (by definition — only one pair of opposite sides is parallel)
- Angles: 4 (same as number of sides)

✔ Trapezoid → 4 sides, 1 pair of parallel sides, 4 angles

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#### Pentagon
- Sides: 5
- Parallel sides: Not necessarily any. A regular pentagon has no parallel sides, so we assume general case → 0
- Angles: 5

✔ Pentagon → 5 sides, 0 parallel sides, 5 angles

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#### Rectangle
- Sides: 4
- Parallel sides: 2 pairs (opposite sides are parallel)
- Angles: 4

✔ Rectangle → 4 sides, 2 pairs of parallel sides, 4 angles

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#### Triangle
- Sides: 3
- Parallel sides: 0 (triangles cannot have parallel sides unless degenerate, which isn't considered here)
- Angles: 3

✔ Triangle → 3 sides, 0 parallel sides, 3 angles

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#### Hexagon
- Sides: 6
- Parallel sides: In a regular hexagon, there are 3 pairs of parallel sides (each side has an opposite parallel side)
- Angles: 6

✔ Hexagon → 6 sides, 3 pairs of parallel sides, 6 angles

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#### Square
- Sides: 4
- Parallel sides: 2 pairs (like rectangle)
- Angles: 4

✔ Square → 4 sides, 2 pairs of parallel sides, 4 angles

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#### Rhombus
- Sides: 4
- Parallel sides: 2 pairs (opposite sides are parallel — like a parallelogram)
- Angles: 4

✔ Rhombus → 4 sides, 2 pairs of parallel sides, 4 angles

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Now fill the chart:

| shape | number of sides | number of parallel sides | number of angles |
|-------------|------------------|----------------------------|-------------------|
| trapezoid | 4 | 1 | 4 |
| pentagon | 5 | 0 | 5 |
| rectangle | 4 | 2 | 4 |
| triangle | 3 | 0 | 3 |
| hexagon | 6 | 3 | 6 |
| square | 4 | 2 | 4 |
| rhombus | 4 | 2 | 4 |

> Note: "Number of parallel sides" is interpreted as number of *pairs* of parallel sides, since that’s standard in such contexts.

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Additional Questions:

How many pairs of parallel sides does a square have?
→ A square has 2 pairs of parallel sides (opposite sides are parallel).

✔ Answer: 2

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Name a polygon that has double the number of sides and angles as a square.
- Square has 4 sides and 4 angles.
- Double = 8 sides and 8 angles.
- Polygon with 8 sides = octagon

✔ Answer: octagon

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Final Answers:

#### Completed Chart:

| shape | number of sides | number of parallel sides | number of angles |
|-------------|------------------|----------------------------|-------------------|
| trapezoid | 4 | 1 | 4 |
| pentagon | 5 | 0 | 5 |
| rectangle | 4 | 2 | 4 |
| triangle | 3 | 0 | 3 |
| hexagon | 6 | 3 | 6 |
| square | 4 | 2 | 4 |
| rhombus | 4 | 2 | 4 |

How many pairs of parallel sides does a square have?
→ 2

Name a polygon that has double the number of sides and angles as a square.
→ octagon

✔ All done!