Question

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

Explanation:

Step1: Check reflection symmetry

Reflection symmetry means the figure can be divided into two congruent halves by a line of reflection. For the letter "X", there are two lines of reflection (vertical and horizontal), so it has reflection symmetry.

Step2: Check rotation symmetry

Rotation symmetry means the figure looks the same after a rotation of less than \(360^{\circ}\). Rotating the letter "X" by \(180^{\circ}\) around its center results in the same figure, so it has rotation symmetry.

Answer:

The letter has both reflection and rotation symmetry.