Question

directions: for each of the following figures state whether they have reflectional symmetry (line symmetry), rotational symmetry, both or none.

Explanation:

Step1: Analyze first figure

It has reflectional symmetry (vertical and horizontal lines of symmetry) and rotational symmetry (rotates 180 degrees and coincides).

Step2: Analyze second figure

It has reflectional symmetry (multiple lines passing through vertices and mid - points of sides) and rotational symmetry (rotates by 72 degrees and coincides).

Step3: Analyze third figure

It has reflectional symmetry (a vertical line of symmetry) and no rotational symmetry (except 360 - degree rotation).

Step4: Analyze fourth figure

It has no reflectional symmetry and no rotational symmetry (except 360 - degree rotation).

Answer:

First figure: Both
Second figure: Both
Third figure: Reflectional symmetry
Fourth figure: None