Skill: Identify quadrilaterals

Explanation and Free Practice Resources

A quadrilateral is a closed, two-dimensional shape composed of exactly four straight sides, four vertices, and four angles. Identification depends on these defining attributes rather than orientation, size, or appearance, so squares, rectangles, and other four-sided shapes can be recognized in varied arrangements, while shapes with curved or more than four sides are excluded; this classification supports later work with shape attributes, perimeter, and area.

Detailed Explanation: Identify quadrilaterals

A quadrilateral is a closed shape with exactly 4 straight sides. It also has 4 vertices (corners) and 4 angles.

The shape can be turned, stretched, or tilted. Its position and size do not matter. What matters is counting its sides and checking that they are straight and connected.

Example: Is this shape a quadrilateral?

       B
     /   \
   A       C
     \   /
       D

Step 1: Check that the shape is closed.
The sides connect all the way around from AA to BB to CC to DD and back to AA.

Step 2: Count the straight sides:

  • ABAB
  • BCBC
  • CDCD
  • DADA

There are exactly 44 straight sides.

Step 3: Count the vertices, or corners.
The vertices are AA, BB, CC, and DD, so there are 44 vertices.

Because the shape is closed and has exactly 44 straight sides, it is a quadrilateral.

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Classifying Polygons by Sides


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