Square vs Deltoid: Analyzing Geometric Shape Classifications

Question

Look at the square above:

Is a square a deltoid?

Step-by-Step Solution

To determine if a square is also a deltoid, let's analyze the properties of both shapes:

  • A square is a quadrilateral with all four sides equal and all angles right angles (9090^\circ).
  • A deltoid (or kite) is defined as a quadrilateral with two distinct pairs of adjacent sides that are equal.

Now, consider a square:

  • In a square, all four sides are equal: this means it has two pairs of adjacent sides that are equal because any pair of adjacent sides are equal (all sides are equal).

Since a square indeed has these two pairs of adjacent equal sides, it satisfies the definition of a deltoid. Therefore, in the context of these definitions, a square can indeed be classified as a deltoid.

Therefore, the correct answer to whether a square is a deltoid is Yes.

Answer

Yes


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