Educational polygon identification worksheet for students.
A colorful worksheet titled "POLYGONS" featuring various geometric shapes including squares, pentagons, hexagons, octagons, triangles, and a circle, with spaces for students to write their name, class, and date.
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Step-by-step solution for: Polygons exercise for Grade 5
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Show Answer Key & Explanations
Step-by-step solution for: Polygons exercise for Grade 5
It looks like you've uploaded a worksheet titled "POLYGONS" that contains various shapes arranged in a grid. The task appears to be related to identifying and classifying polygons based on their properties (number of sides, shape, etc.). However, the actual instructions or questions for the task are missing from the image.
Since there are no explicit directions (e.g., "Identify the polygons," "Count the sides," or "Classify as regular or irregular"), I’ll assume this is a polygon identification and classification exercise, which is common in geometry lessons.
Let’s go through the shapes row by row and analyze them:
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1. Green rectangle – A quadrilateral with four right angles and opposite sides equal.
2. Purple pentagon – A five-sided polygon.
3. Blue hexagon – A six-sided polygon.
✔ All are regular polygons (equal sides and angles), except possibly the rectangle (which is not regular unless it's a square).
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1. Blue shape – This appears to be a circle with small dots around the edge, suggesting it might be a very high-sided polygon (like a 20-gon) approximating a circle. But it's not a true polygon because it has curved edges.
2. Red shape – Another circle-like shape, but again, likely meant to represent a high-sided polygon. Still not a polygon due to curvature.
3. Yellow octagon – An eight-sided polygon. Looks regular.
⚠️ These two circles are not polygons — polygons must have straight sides.
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1. Blue octagon – Eight sides, regular-looking.
2. Orange octagon – Eight sides, regular.
3. Pink octagon – Eight sides, regular.
✔ All are regular octagons.
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1. Light green octagon – Eight sides, regular.
2. Green circle – Again, not a polygon — curved edge.
3. Blue octagon – Regular octagon.
⚠️ The green shape is not a polygon.
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1. Blue triangle – Three sides, equilateral (all sides equal).
2. Red triangle – Three sides, scalene (unequal sides), but still a triangle.
3. Yellow triangle – Also a triangle, but labeled with tick marks indicating side lengths:
- One side has one tick mark,
- Another has two tick marks,
- Third has three tick marks → So all sides different → scalene triangle.
✔ All are triangles, so they are polygons.
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| Shape | Type | Is it a Polygon? | Notes |
|------|------|------------------|-------|
| Rectangle | Quadrilateral | Yes | Not regular unless square |
| Pentagon | 5 sides | Yes | Regular |
| Hexagon | 6 sides | Yes | Regular |
| Blue circle-like | N/A | ✘ No | Curved edge → not a polygon |
| Red circle-like | N/A | ✘ No | Same reason |
| Yellow octagon | 8 sides | Yes | Regular |
| Blue octagon | 8 sides | Yes | Regular |
| Orange octagon | 8 sides | Yes | Regular |
| Pink octagon | 8 sides | Yes | Regular |
| Light green octagon | 8 sides | Yes | Regular |
| Green circle | N/A | ✘ No | Curved edge |
| Blue octagon | 8 sides | Yes | Regular |
| Blue triangle | 3 sides | Yes | Equilateral |
| Red triangle | 3 sides | Yes | Scalene |
| Yellow triangle | 3 sides | Yes | Scalene |
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Since the worksheet is titled "POLYGONS", the intended task is probably:
> Identify which shapes are polygons and classify them by number of sides.
#### ✔ Step-by-step solution:
1. Circle the shapes that are polygons.
- Exclude any shape with curved edges (blue, red, green circles).
- Include only shapes with straight sides.
2. Label each polygon by its name:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Octagon (8 sides)
3. Classify as regular or irregular:
- Regular: all sides and angles equal
- Irregular: otherwise
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Polygons present:
- Green rectangle → Quadrilateral (irregular)
- Purple pentagon → Pentagon (regular)
- Blue hexagon → Hexagon (regular)
- Yellow octagon (row 2) → Octagon (regular)
- Blue octagon (row 3) → Octagon (regular)
- Orange octagon → Octagon (regular)
- Pink octagon → Octagon (regular)
- Light green octagon → Octagon (regular)
- Blue octagon (row 4) → Octagon (regular)
- Blue triangle → Triangle (equilateral, regular)
- Red triangle → Triangle (scalene, irregular)
- Yellow triangle → Triangle (scalene, irregular)
Non-polygons (curved):
- Blue circle-like (row 2)
- Red circle-like (row 2)
- Green circle (row 4)
---
The task is likely to:
1. Identify all polygons.
2. Name them by number of sides.
3. Classify them as regular or irregular.
4. Cross out or ignore non-polygon shapes (circles).
If you can provide the exact instructions or questions on the worksheet (e.g., “Which of these are polygons?” or “How many sides does each shape have?”), I can give a more targeted answer.
But based on standard classroom practice, this is the most logical interpretation and solution.
Since there are no explicit directions (e.g., "Identify the polygons," "Count the sides," or "Classify as regular or irregular"), I’ll assume this is a polygon identification and classification exercise, which is common in geometry lessons.
Let’s go through the shapes row by row and analyze them:
---
🔹 Row 1:
1. Green rectangle – A quadrilateral with four right angles and opposite sides equal.
2. Purple pentagon – A five-sided polygon.
3. Blue hexagon – A six-sided polygon.
✔ All are regular polygons (equal sides and angles), except possibly the rectangle (which is not regular unless it's a square).
---
🔹 Row 2:
1. Blue shape – This appears to be a circle with small dots around the edge, suggesting it might be a very high-sided polygon (like a 20-gon) approximating a circle. But it's not a true polygon because it has curved edges.
2. Red shape – Another circle-like shape, but again, likely meant to represent a high-sided polygon. Still not a polygon due to curvature.
3. Yellow octagon – An eight-sided polygon. Looks regular.
⚠️ These two circles are not polygons — polygons must have straight sides.
---
🔹 Row 3:
1. Blue octagon – Eight sides, regular-looking.
2. Orange octagon – Eight sides, regular.
3. Pink octagon – Eight sides, regular.
✔ All are regular octagons.
---
🔹 Row 4:
1. Light green octagon – Eight sides, regular.
2. Green circle – Again, not a polygon — curved edge.
3. Blue octagon – Regular octagon.
⚠️ The green shape is not a polygon.
---
🔹 Row 5:
1. Blue triangle – Three sides, equilateral (all sides equal).
2. Red triangle – Three sides, scalene (unequal sides), but still a triangle.
3. Yellow triangle – Also a triangle, but labeled with tick marks indicating side lengths:
- One side has one tick mark,
- Another has two tick marks,
- Third has three tick marks → So all sides different → scalene triangle.
✔ All are triangles, so they are polygons.
---
✔ Summary of Observations:
| Shape | Type | Is it a Polygon? | Notes |
|------|------|------------------|-------|
| Rectangle | Quadrilateral | Yes | Not regular unless square |
| Pentagon | 5 sides | Yes | Regular |
| Hexagon | 6 sides | Yes | Regular |
| Blue circle-like | N/A | ✘ No | Curved edge → not a polygon |
| Red circle-like | N/A | ✘ No | Same reason |
| Yellow octagon | 8 sides | Yes | Regular |
| Blue octagon | 8 sides | Yes | Regular |
| Orange octagon | 8 sides | Yes | Regular |
| Pink octagon | 8 sides | Yes | Regular |
| Light green octagon | 8 sides | Yes | Regular |
| Green circle | N/A | ✘ No | Curved edge |
| Blue octagon | 8 sides | Yes | Regular |
| Blue triangle | 3 sides | Yes | Equilateral |
| Red triangle | 3 sides | Yes | Scalene |
| Yellow triangle | 3 sides | Yes | Scalene |
---
🧩 Likely Task / Solution:
Since the worksheet is titled "POLYGONS", the intended task is probably:
> Identify which shapes are polygons and classify them by number of sides.
#### ✔ Step-by-step solution:
1. Circle the shapes that are polygons.
- Exclude any shape with curved edges (blue, red, green circles).
- Include only shapes with straight sides.
2. Label each polygon by its name:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Octagon (8 sides)
3. Classify as regular or irregular:
- Regular: all sides and angles equal
- Irregular: otherwise
---
✔ Final Answer (if the task is to identify polygons):
Polygons present:
- Green rectangle → Quadrilateral (irregular)
- Purple pentagon → Pentagon (regular)
- Blue hexagon → Hexagon (regular)
- Yellow octagon (row 2) → Octagon (regular)
- Blue octagon (row 3) → Octagon (regular)
- Orange octagon → Octagon (regular)
- Pink octagon → Octagon (regular)
- Light green octagon → Octagon (regular)
- Blue octagon (row 4) → Octagon (regular)
- Blue triangle → Triangle (equilateral, regular)
- Red triangle → Triangle (scalene, irregular)
- Yellow triangle → Triangle (scalene, irregular)
Non-polygons (curved):
- Blue circle-like (row 2)
- Red circle-like (row 2)
- Green circle (row 4)
---
📝 Conclusion:
The task is likely to:
1. Identify all polygons.
2. Name them by number of sides.
3. Classify them as regular or irregular.
4. Cross out or ignore non-polygon shapes (circles).
If you can provide the exact instructions or questions on the worksheet (e.g., “Which of these are polygons?” or “How many sides does each shape have?”), I can give a more targeted answer.
But based on standard classroom practice, this is the most logical interpretation and solution.
Parent Tip: Review the logic above to help your child master the concept of polygons worksheet 5th grade.