Polygons Worksheet and Classification | Grade1to6 - Free Printable
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Step-by-step solution for: Polygons Worksheet and Classification | Grade1to6
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Show Answer Key & Explanations
Step-by-step solution for: Polygons Worksheet and Classification | Grade1to6
Let’s go through each shape one by one. We’ll count how many straight lines (sides) each shape has, and then name it based on that number.
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a. Triangle
- Count the sides: 1, 2, 3 → 3 lines
- Name for a 3-sided polygon: Triangle
✔ Name: Triangle
✔ Number of lines: 3
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b. Rectangle
- Count the sides: top, right, bottom, left → 4 lines
- Name for a 4-sided polygon: Quadrilateral — but since it’s a rectangle, we can also say “Rectangle”. However, in naming polygons by side count, we usually use “Quadrilateral” unless specified otherwise. But looking at common Grade 5 practice, they often accept specific names like “Rectangle” if it’s obvious. Let’s check the pattern — all others are named by side count? Wait, no — actually, in this worksheet, they’re likely expecting the general polygon name based on number of sides.
Wait — let’s look again. The title is “Naming Polygons”, and instructions say “Write the name & numbers of line each shape.” In most elementary curricula, for regular shapes like these, they expect:
- 3 sides → Triangle
- 4 sides → Quadrilateral (but sometimes they accept Square/Rectangle if it’s clear)
BUT — looking at shape c (square), f (rhombus/diamond), b (rectangle) — they all have 4 sides. So probably, for consistency, they want the general term “Quadrilateral” for all 4-sided shapes? Or maybe they want the specific name?
Actually, let’s think: in Grade 5, when learning to name polygons by number of sides, they teach:
- 3 = triangle
- 4 = quadrilateral
- 5 = pentagon
- 6 = hexagon
- 7 = heptagon
- 8 = octagon
- 9 = nonagon
- 10 = decagon
But wait — shape e looks like an octagon (8 sides), g also looks like an octagon? Let me recount carefully.
Let’s do them all systematically.
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a. Shape with 3 sides → Triangle, 3 lines
b. Rectangle → 4 sides → Quadrilateral, 4 lines
*(Note: Some teachers may accept "Rectangle", but since the topic is "naming polygons" by side count, "Quadrilateral" is more accurate for the category.)*
c. Square → also 4 sides → Quadrilateral, 4 lines
d. Hexagon → let’s count: top, upper-right, lower-right, bottom, lower-left, upper-left → 6 sides → Hexagon, 6 lines
e. Let’s count the sides: starting from top, going clockwise — 1,2,3,4,5,6,7,8 → 8 sides → Octagon, 8 lines
f. Diamond/rhombus → 4 sides → Quadrilateral, 4 lines
g. Again, count: 1,2,3,4,5,6,7,8 → 8 sides → Octagon, 8 lines
h. Pentagon → 5 sides → Pentagon, 5 lines
Wait — but shape g and e both look like octagons? Yes, they do. And d is hexagon, h is pentagon.
But let’s double-check shape e: it’s a regular octagon? Yes, 8 equal sides.
Shape g: also 8 sides? Let me visualize — yes, same as e.
Now, what about naming? Should we use specific names like “Square” or “Rectangle”? The instruction says “Name” — in context of “Naming Polygons”, and given that other shapes are irregular or not labeled specifically, I think they want the polygon name based on number of sides.
For example:
- 3 sides → Triangle
- 4 sides → Quadrilateral
- 5 → Pentagon
- 6 → Hexagon
- 8 → Octagon
Even though b is a rectangle and c is a square, they are still quadrilaterals. Similarly, f is a rhombus, which is also a quadrilateral.
So to be consistent with the topic “Naming Polygons” (which typically refers to naming by number of sides in early grades), we’ll use:
- Triangle (3)
- Quadrilateral (4)
- Pentagon (5)
- Hexagon (6)
- Octagon (8)
Let’s confirm counts:
a. 3 sides → Triangle, 3
b. 4 sides → Quadrilateral, 4
c. 4 sides → Quadrilateral, 4
d. 6 sides → Hexagon, 6
e. 8 sides → Octagon, 8
f. 4 sides → Quadrilateral, 4
g. 8 sides → Octagon, 8
h. 5 sides → Pentagon, 5
Yes, that seems correct.
Final Answer:
a. Name: Triangle, Number of lines: 3
b. Name: Quadrilateral, Number of lines: 4
c. Name: Quadrilateral, Number of lines: 4
d. Name: Hexagon, Number of lines: 6
e. Name: Octagon, Number of lines: 8
f. Name: Quadrilateral, Number of lines: 4
g. Name: Octagon, Number of lines: 8
h. Name: Pentagon, Number of lines: 5
---
a. Triangle
- Count the sides: 1, 2, 3 → 3 lines
- Name for a 3-sided polygon: Triangle
✔ Name: Triangle
✔ Number of lines: 3
---
b. Rectangle
- Count the sides: top, right, bottom, left → 4 lines
- Name for a 4-sided polygon: Quadrilateral — but since it’s a rectangle, we can also say “Rectangle”. However, in naming polygons by side count, we usually use “Quadrilateral” unless specified otherwise. But looking at common Grade 5 practice, they often accept specific names like “Rectangle” if it’s obvious. Let’s check the pattern — all others are named by side count? Wait, no — actually, in this worksheet, they’re likely expecting the general polygon name based on number of sides.
Wait — let’s look again. The title is “Naming Polygons”, and instructions say “Write the name & numbers of line each shape.” In most elementary curricula, for regular shapes like these, they expect:
- 3 sides → Triangle
- 4 sides → Quadrilateral (but sometimes they accept Square/Rectangle if it’s clear)
BUT — looking at shape c (square), f (rhombus/diamond), b (rectangle) — they all have 4 sides. So probably, for consistency, they want the general term “Quadrilateral” for all 4-sided shapes? Or maybe they want the specific name?
Actually, let’s think: in Grade 5, when learning to name polygons by number of sides, they teach:
- 3 = triangle
- 4 = quadrilateral
- 5 = pentagon
- 6 = hexagon
- 7 = heptagon
- 8 = octagon
- 9 = nonagon
- 10 = decagon
But wait — shape e looks like an octagon (8 sides), g also looks like an octagon? Let me recount carefully.
Let’s do them all systematically.
---
a. Shape with 3 sides → Triangle, 3 lines
b. Rectangle → 4 sides → Quadrilateral, 4 lines
*(Note: Some teachers may accept "Rectangle", but since the topic is "naming polygons" by side count, "Quadrilateral" is more accurate for the category.)*
c. Square → also 4 sides → Quadrilateral, 4 lines
d. Hexagon → let’s count: top, upper-right, lower-right, bottom, lower-left, upper-left → 6 sides → Hexagon, 6 lines
e. Let’s count the sides: starting from top, going clockwise — 1,2,3,4,5,6,7,8 → 8 sides → Octagon, 8 lines
f. Diamond/rhombus → 4 sides → Quadrilateral, 4 lines
g. Again, count: 1,2,3,4,5,6,7,8 → 8 sides → Octagon, 8 lines
h. Pentagon → 5 sides → Pentagon, 5 lines
Wait — but shape g and e both look like octagons? Yes, they do. And d is hexagon, h is pentagon.
But let’s double-check shape e: it’s a regular octagon? Yes, 8 equal sides.
Shape g: also 8 sides? Let me visualize — yes, same as e.
Now, what about naming? Should we use specific names like “Square” or “Rectangle”? The instruction says “Name” — in context of “Naming Polygons”, and given that other shapes are irregular or not labeled specifically, I think they want the polygon name based on number of sides.
For example:
- 3 sides → Triangle
- 4 sides → Quadrilateral
- 5 → Pentagon
- 6 → Hexagon
- 8 → Octagon
Even though b is a rectangle and c is a square, they are still quadrilaterals. Similarly, f is a rhombus, which is also a quadrilateral.
So to be consistent with the topic “Naming Polygons” (which typically refers to naming by number of sides in early grades), we’ll use:
- Triangle (3)
- Quadrilateral (4)
- Pentagon (5)
- Hexagon (6)
- Octagon (8)
Let’s confirm counts:
a. 3 sides → Triangle, 3
b. 4 sides → Quadrilateral, 4
c. 4 sides → Quadrilateral, 4
d. 6 sides → Hexagon, 6
e. 8 sides → Octagon, 8
f. 4 sides → Quadrilateral, 4
g. 8 sides → Octagon, 8
h. 5 sides → Pentagon, 5
Yes, that seems correct.
Final Answer:
a. Name: Triangle, Number of lines: 3
b. Name: Quadrilateral, Number of lines: 4
c. Name: Quadrilateral, Number of lines: 4
d. Name: Hexagon, Number of lines: 6
e. Name: Octagon, Number of lines: 8
f. Name: Quadrilateral, Number of lines: 4
g. Name: Octagon, Number of lines: 8
h. Name: Pentagon, Number of lines: 5
Parent Tip: Review the logic above to help your child master the concept of classify polygons worksheet.