Polygon identification worksheet for students to learn and practice geometry concepts.
A worksheet titled "Polygons" with examples of various polygons and spaces to fill in details like polygon name, number of sides, pairs of parallel sides, and number of right angles.
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Show Answer Key & Explanations
Step-by-step solution for: Math - Printable Worksheets | LoveToTeach.org
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Show Answer Key & Explanations
Step-by-step solution for: Math - Printable Worksheets | LoveToTeach.org
Let's solve the polygon worksheet step by step. We are given a parallelogram as an example, and we need to fill in the blanks for each of the other polygons shown.
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- Shape: A rectangle
- Polygon Name: Rectangle
- Number of Sides: 4
- Pairs of Parallel Sides: 2 (opposite sides are parallel)
- Number of Right Angles: 4 (all angles are 90°)
✔ Answer:
- Polygon name: rectangle
- Number of sides: 4
- Pairs of parallel sides: 2
- Number of right angles: 4
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- Shape: A triangle with one right angle
- Polygon Name: Triangle (specifically, a right triangle)
- Number of Sides: 3
- Pairs of Parallel Sides: 0 (triangles have no parallel sides)
- Number of Right Angles: 1 (as it's a right triangle)
✔ Answer:
- Polygon name: triangle
- Number of sides: 3
- Pairs of parallel sides: 0
- Number of right angles: 1
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- Shape: A trapezoid (one pair of parallel sides)
- Polygon Name: Trapezoid
- Number of Sides: 4
- Pairs of Parallel Sides: 1 (only one pair is parallel)
- Number of Right Angles: 0 or possibly 2 (but in this case, it looks like a general trapezoid without right angles). Since it's not marked, assume 0
✔ Answer:
- Polygon name: trapezoid
- Number of sides: 4
- Pairs of parallel sides: 1
- Number of right angles: 0
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- Shape: A five-sided polygon
- Polygon Name: Pentagon
- Number of Sides: 5
- Pairs of Parallel Sides: 0 (regular pentagons have no parallel sides)
- Number of Right Angles: 0 (no 90° angles in a regular pentagon)
✔ Answer:
- Polygon name: pentagon
- Number of sides: 5
- Pairs of parallel sides: 0
- Number of right angles: 0
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- Shape: A six-sided polygon
- Polygon Name: Hexagon
- Number of Sides: 6
- Pairs of Parallel Sides: 3 (in a regular hexagon, opposite sides are parallel)
- Number of Right Angles: 0 (regular hexagon has internal angles of 120°, not 90°)
✔ Answer:
- Polygon name: hexagon
- Number of sides: 6
- Pairs of parallel sides: 3
- Number of right angles: 0
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- Shape: A square
- Polygon Name: Square
- Number of Sides: 4
- Pairs of Parallel Sides: 2 (opposite sides are parallel)
- Number of Right Angles: 4 (all angles are 90°)
✔ Answer:
- Polygon name: square
- Number of sides: 4
- Pairs of parallel sides: 2
- Number of right angles: 4
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| Shape | Polygon Name | Sides | Pairs of Parallel Sides | Right Angles |
|-------------|--------------|-------|--------------------------|---------------|
| Rectangle | rectangle | 4 | 2 | 4 |
| Triangle | triangle | 3 | 0 | 1 |
| Trapezoid | trapezoid | 4 | 1 | 0 |
| Pentagon | pentagon | 5 | 0 | 0 |
| Hexagon | hexagon | 6 | 3 | 0 |
| Square | square | 4 | 2 | 4 |
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- All shapes are convex polygons.
- The "pairs of parallel sides" refers to how many distinct pairs of opposite sides are parallel.
- Right angles are only present in rectangles, squares, and right triangles.
Let me know if you'd like this formatted as a printable answer sheet!
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1. First Polygon (Top Left) – Rectangle
- Shape: A rectangle
- Polygon Name: Rectangle
- Number of Sides: 4
- Pairs of Parallel Sides: 2 (opposite sides are parallel)
- Number of Right Angles: 4 (all angles are 90°)
✔ Answer:
- Polygon name: rectangle
- Number of sides: 4
- Pairs of parallel sides: 2
- Number of right angles: 4
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2. Second Polygon (Top Right) – Right Triangle
- Shape: A triangle with one right angle
- Polygon Name: Triangle (specifically, a right triangle)
- Number of Sides: 3
- Pairs of Parallel Sides: 0 (triangles have no parallel sides)
- Number of Right Angles: 1 (as it's a right triangle)
✔ Answer:
- Polygon name: triangle
- Number of sides: 3
- Pairs of parallel sides: 0
- Number of right angles: 1
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3. Third Polygon (Middle Left) – Trapezoid
- Shape: A trapezoid (one pair of parallel sides)
- Polygon Name: Trapezoid
- Number of Sides: 4
- Pairs of Parallel Sides: 1 (only one pair is parallel)
- Number of Right Angles: 0 or possibly 2 (but in this case, it looks like a general trapezoid without right angles). Since it's not marked, assume 0
✔ Answer:
- Polygon name: trapezoid
- Number of sides: 4
- Pairs of parallel sides: 1
- Number of right angles: 0
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4. Fourth Polygon (Middle Right) – Pentagon
- Shape: A five-sided polygon
- Polygon Name: Pentagon
- Number of Sides: 5
- Pairs of Parallel Sides: 0 (regular pentagons have no parallel sides)
- Number of Right Angles: 0 (no 90° angles in a regular pentagon)
✔ Answer:
- Polygon name: pentagon
- Number of sides: 5
- Pairs of parallel sides: 0
- Number of right angles: 0
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5. Fifth Polygon (Bottom Left) – Hexagon
- Shape: A six-sided polygon
- Polygon Name: Hexagon
- Number of Sides: 6
- Pairs of Parallel Sides: 3 (in a regular hexagon, opposite sides are parallel)
- Number of Right Angles: 0 (regular hexagon has internal angles of 120°, not 90°)
✔ Answer:
- Polygon name: hexagon
- Number of sides: 6
- Pairs of parallel sides: 3
- Number of right angles: 0
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6. Sixth Polygon (Bottom Right) – Square
- Shape: A square
- Polygon Name: Square
- Number of Sides: 4
- Pairs of Parallel Sides: 2 (opposite sides are parallel)
- Number of Right Angles: 4 (all angles are 90°)
✔ Answer:
- Polygon name: square
- Number of sides: 4
- Pairs of parallel sides: 2
- Number of right angles: 4
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✔ Final Answers:
| Shape | Polygon Name | Sides | Pairs of Parallel Sides | Right Angles |
|-------------|--------------|-------|--------------------------|---------------|
| Rectangle | rectangle | 4 | 2 | 4 |
| Triangle | triangle | 3 | 0 | 1 |
| Trapezoid | trapezoid | 4 | 1 | 0 |
| Pentagon | pentagon | 5 | 0 | 0 |
| Hexagon | hexagon | 6 | 3 | 0 |
| Square | square | 4 | 2 | 4 |
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🔍 Notes:
- All shapes are convex polygons.
- The "pairs of parallel sides" refers to how many distinct pairs of opposite sides are parallel.
- Right angles are only present in rectangles, squares, and right triangles.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of super teacher worksheet polygons.