Question

A square has symmetry with respect to a line containing a median of the square.. . true or false?

Answer 1

Answer with explanation:

Consider a Square ABCD, in which

There are two kind of Symmetry

1. Line of Symmetry

2. Rotational Symmetry

When you talk about the Symmetry which is a Median , you talk about Line of Symmetry.

There are two median lines in a Square.Apart from that there are two diagonals through which square looks Symmetrical.

So, there are four lines of Symmetry in a square.

→When you rotate a Square through a complete revolution, four times it appears identical to it's original Shape.So, Rotational Symmetry of Square =4

Yes, it is a true Statement which states A square has symmetry with respect to a line containing a median of the square.

Answer 2

TRUE. A square has symmetry with respect to a line containing a median of the square

The square has eight symmetries - four rotations, two mirror images, and two diagonal flips: