Question

All rectangles are square.
A. True
B. False

Answer 1

Hint: Here we will check whether the given statement is true or false. First, we will check the definition of a rectangle and square and see whether all the rectangles can be square or not. If we find one contradictory point that means the statement is false otherwise true.

Complete step-by-step answer:
A rectangle is a two-dimensional quadrilateral with four sides having four interior right angles and four corners. The opposite sides of a rectangle are always equal and are parallel to each other. The length of the diagonal of the rectangle is equal.
A square is a two-dimensional quadrilateral with four equal sides and four interior right angles and four corners. Opposite sides are parallel to each other and the length of the diagonal of the square is equal.
Now we know that the sides of a square are equal to each other whereas in a rectangle only opposite sides are equal.
That means at no point all sides of the rectangle can be equal.
So, we can conclude that all rectangles are not square and the given statement is False.

Hence, option (B) is true.

Note:
A quadrilateral is defined as a closed two-dimensional figure which is formed when four points are joined in which any three of them are collinear. A quadrilateral has four sides, four angles and four vertices and the sum of all interior angles is \[{360^ \circ }\]. A square and a rectangle is a special case of a parallelogram. One example of a rectangle is the face of a blackboard and the example of a square is the face of a Rubix cube.