Let's solve the problem step by step.
The task is to
count the number of edges (sides) and vertices (corners) for each given shape. Here's what we need to know:
-
Edges (Sides): The straight lines that form the boundary of a shape.
-
Vertices: The points where two edges meet (corners).
We'll go through each shape one by one.
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1. Triangle
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Shape: A triangle has 3 straight sides.
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Number of Sides: 3
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Number of Vertices: 3 (one at each corner)
✔ Answer:
- Number of Sides: 3
- Number of Vertices: 3
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2. Square
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Shape: A square has 4 equal sides.
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Number of Sides: 4
-
Number of Vertices: 4 (each corner is a vertex)
✔ Answer:
- Number of Sides: 4
- Number of Vertices: 4
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3. Rectangle
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Shape: A rectangle has 4 sides, with opposite sides equal.
-
Number of Sides: 4
-
Number of Vertices: 4
✔ Answer:
- Number of Sides: 4
- Number of Vertices: 4
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4. Trapezoid
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Shape: A trapezoid is a quadrilateral with at least one pair of parallel sides.
- It always has 4 sides.
-
Number of Sides: 4
-
Number of Vertices: 4
✔ Answer:
- Number of Sides: 4
- Number of Vertices: 4
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5. Parallelogram
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Shape: A parallelogram has two pairs of parallel sides.
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Number of Sides: 4
-
Number of Vertices: 4
✔ Answer:
- Number of Sides: 4
- Number of Vertices: 4
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6. Pentagon
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Shape: A pentagon has 5 sides.
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Number of Sides: 5
-
Number of Vertices: 5
✔ Answer:
- Number of Sides: 5
- Number of Vertices: 5
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7. Hexagon
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Shape: A hexagon has 6 sides.
-
Number of Sides: 6
-
Number of Vertices: 6
✔ Answer:
- Number of Sides: 6
- Number of Vertices: 6
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Final Answer Table:
| Shape | Name | Number of Sides | Number of Vertices |
|--------------|--------------|------------------|--------------------|
| 🔺 | Triangle | 3 | 3 |
| 🔵 | Square | 4 | 4 |
| 🔴 | Rectangle | 4 | 4 |
| 🟩 | Trapezoid | 4 | 4 |
| 🟦 | Parallelogram| 4 | 4 |
| 🔴 | Pentagon | 5 | 5 |
| 🟨 | Hexagon | 6 | 6 |
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Summary:
All polygons have the same number of
vertices as
sides. This is because every side connects two vertices, and every vertex connects two sides.
✔ So, for any polygon:
Number of Vertices = Number of Sides
This pattern holds true for all the shapes listed.
Let me know if you'd like this printed or formatted into a worksheet!
Parent Tip: Review the logic above to help your child master the concept of worksheet on shapes for grade 4.
