Square vs Trapezoid: Analyzing Geometric Shape Classification

Question

Is a square a trapezoid?

Step-by-Step Solution

To determine if a square is a trapezoid, we need to understand the definitions of both shapes:

  • Definition of a Trapezoid: A trapezoid is a type of quadrilateral that has at least one pair of parallel sides.
  • Definition of a Square: A square is a quadrilateral with four equal sides and four right angles, and it has two pairs of parallel sides (opposite sides are parallel).

Since a square has two pairs of parallel sides, it certainly has at least one pair of parallel sides, which satisfies the definition of a trapezoid under the inclusive definition.

Therefore, we conclude that a square is indeed a trapezoid.

The correct answer to the question is: Yes.

Answer

Yes


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