Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

It is not a square because opposite angles are not congruent.
It is not a square because the angles at the vertices are not right angles.
It is a square because all the sides are congruent.
It is a square because the diagonals are perpendicular.

This question is based on properties of square. Therefore, the correct option is B, i.e. It is not a square because the angles at the vertices are not right angles.

Given:

Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long.

We need to choose the appropriate option as per given suggestion.

As we know the properties of square that:

Property 1. Each of the interior angles of a square is 90°.

Property 2. The diagonals of a square bisect each other.

Property 3. The opposite sides of a square are parallel.

Property 4. A square whose length is s has area [tex]\bold{s^{2}}[/tex].

Property 5. A square whose side length is s has perimeter 4s.

Property 6. A square whose side length is s has a diagonal of length [tex]\bold{s\sqrt{2} }[/tex].

Property 7. The diagonals of a square are equal.

Therefore, the correct option is B, i.e. It is not a square because the angles at the vertices are not right angles.

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