determine whether each object has reflectional symmetry and whether it has rotational symmetry. draw all…

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.

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.

Answer

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°)