true or false: no square is a trapezoid
True
True. No square can be classified as a trapezoid.
To understand why this statement is true, we need to understand the definitions of a square and a trapezoid.
– Square: A square is a quadrilateral (a polygon with four sides) with all sides of equal length, and all angles measuring 90 degrees. In simpler terms, it is a four-sided shape with equal sides and right angles.
– Trapezoid: A trapezoid is a quadrilateral that has at least one pair of parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs.
Now, let’s consider a square. All sides of a square are equal. If the four sides of a square are equal, it means that there are no parallel sides. Thus, a square cannot have parallel sides to be classified as a trapezoid, which makes the statement “no square is a trapezoid” true.
Additionally, a trapezoid has two distinct angles that are equal, called the base angles. These angles are formed between the base and one of the legs. However, in a square, all angles are 90 degrees, so there are no base angles that are equal. This further supports the fact that a square cannot be a trapezoid.
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