The diagram of the square below displays all the lines of symmetry for the square.A.TrueB.FalseSUBMITarrow_backPREVIOUS

To determine whether the statement "The diagram of the square below displays all the lines of symmetry for the square" is true or false, we first need to understand the concept of symmetry in a square.

Understanding Lines of Symmetry

1. Definition of Line of Symmetry: A line of symmetry is a line that divides a figure into two identical parts that are mirror images of each other.

2. Identifying Lines of Symmetry in a Square:

   • A square has four lines of symmetry:
     1. Vertical Line: Divides the square into two equal left and right parts.
     2. Horizontal Line: Divides the square into equal top and bottom parts.
     3. Diagonal Line (from top-left to bottom-right): Divides the square into two triangles that are mirror images of each other.
     4. Diagonal Line (from top-right to bottom-left): Again, divides the square into two triangles that are mirror images.

Analysis of the Statement

1. If the diagram indeed depicts all four lines of symmetry listed above, then the statement is True.
2. If any line of symmetry is missing from the diagram, then the statement is False.

Conclusion

Therefore, without seeing the actual diagram, if all four lines mentioned are present, the answer is A. True. Otherwise, it is B. False.

For a complete answer, visualization of the diagram is required to make a definitive conclusion.