Question

which statement is true? z
○ the letter has reflection symmetry only.
○ the letter has neither reflection nor rotation symmetry.
○ the letter has both reflection and rotation symmetry.
○ the letter has rotation symmetry only.

Explanation:

Step1: Define reflection symmetry

Reflection symmetry means a figure can be divided by a line into two mirror - image parts. For the letter Z, there is no such line (horizontal, vertical, or diagonal) that can divide it into two mirror - image parts.

Step2: Define rotation symmetry

Rotation symmetry means a figure can be rotated by an angle (less than \(360^{\circ}\)) around a center point and still look the same. When the letter Z is rotated by \(180^{\circ}\) around its center, it looks the same.

Answer:

The letter has rotation symmetry only.