Which of the following have both line symmetry and rotational symmetry of order more than 1?

Options

A. A
B. H
C. C
D. Z

Answer

To determine which of the given letters (A, H, C, Z) have both line symmetry and rotational symmetry of order more than 1, we will analyze each letter step by step.

### Step 1: Analyze Letter A
- **Line Symmetry**: Letter A has only 1 line of symmetry (vertical line).
- **Rotational Symmetry**: Letter A does not have rotational symmetry of order more than 1 (it looks the same only at 360 degrees).
- **Conclusion**: A does not meet the criteria.

**Hint**: Check how many lines of symmetry a shape has and if it looks the same when rotated.

### Step 2: Analyze Letter H
- **Line Symmetry**: Letter H has 2 lines of symmetry (one vertical and one horizontal).
- **Rotational Symmetry**: Letter H has rotational symmetry of order 2 (it looks the same when rotated 180 degrees).
- **Conclusion**: H meets the criteria.

**Hint**: Count the lines of symmetry and see if the shape looks the same when rotated.

### Step 3: Analyze Letter C
- **Line Symmetry**: Letter C has only 1 line of symmetry (vertical line).
- **Rotational Symmetry**: Letter C does not have rotational symmetry of order more than 1 (it does not look the same at any angle other than 360 degrees).
- **Conclusion**: C does not meet the criteria.

**Hint**: Remember that a shape must look the same at multiple angles to have rotational symmetry of order more than 1.

### Step 4: Analyze Letter Z
- **Line Symmetry**: Letter Z has no lines of symmetry.
- **Rotational Symmetry**: Letter Z does not have rotational symmetry of order more than 1 (it does not look the same at any angle).
- **Conclusion**: Z does not meet the criteria.

**Hint**: A shape must have at least one line of symmetry to be considered for this question.

### Final Conclusion:
The only letter that has both line symmetry and rotational symmetry of order more than 1 is **H**.

**Final Answer**: H is the correct option.