Question

determine whether each object has reflectional symmetry and whether it has rotational symmetry. draw all lines of reflectional symmetry, and write angles of rotation (up to 180°) that map the figure into itself.

Explanation:

Step1: Analyze figure 10

The cross - like figure has 4 lines of reflectional symmetry (vertical, horizontal and two diagonal). It has rotational symmetry. The angles of rotation that map it onto itself (up to 180°) are 90° and 180°.

Step2: Analyze figure 11

The infinity symbol has 2 lines of reflectional symmetry (vertical and horizontal). It has rotational symmetry. The angle of rotation that maps it onto itself (up to 180°) is 180°.

Step3: Analyze figure 12

The anchor figure has 1 line of reflectional symmetry (vertical). It has no rotational symmetry (other than 360° which is not considered here as we are looking up to 180°).

Answer:

1. Reflectional symmetry: 4 lines; Rotational symmetry: angles 90°, 180°
2. Reflectional symmetry: 2 lines; Rotational symmetry: angle 180°
3. Reflectional symmetry: 1 line; Rotational symmetry: none (up to 180°)