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Door 14 · Grade 2

📐 Two-Dimensional Shapes

2D shapes are completely flat configurations containing length and width measurements but

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Two-Dimensional Shapes

A Two-Dimensional (2D) shape is a flat geometric shape. It has length and width, but no thickness or depth, which means it lies completely flat on a sheet of paper. To understand, sort, and classify these shapes, we study their unique mathematical structural properties:
• Sides (Edges): The straight or curved boundary lines that form the outer perimeter layout of the shape.
• Vertices (Corners): The points where two straight sides meet. A single corner is called a vertex, and more than one are called vertices.
• Attributes of Standard Shapes:
• Circle: Formed by a single continuous curved line with 0 straight sides and 0 vertices.
• Triangle: A strong three-sided shape containing exactly 3 straight sides and 3 vertices.
• Square: A special four-sided shape with 4 straight sides of completely equal length and 4 vertices.
• Rectangle: A four-sided shape with 4 straight…

Worked example

Problem: A flat, straight-sided pattern token block has exactly 5 corners and 5 straight boundaries. What is the standard geometric name of this shape?

  1. Count the given geometric properties: Count of straight sides = 5; Count of vertices = 5.
  2. Review the polygon name directory based on sides: 3 = Triangle, 4 = Square/Rectangle, 5 = Pentagon, 6 = Hexagon.
  3. A closed 2D shape constructed from exactly 5 straight lines is defined as a Pentagon.

Answer: Pentagon