Answer:
(b) line symmetry only
Explanation:
This question asks you to identify any applicable form of symmetry the given figure may have.
What is symmetry?
For plane figures, three kinds of symmetry are defined:
- symmetry about a point
- symmetry about a line
- rotational symmetry
A figure is symmetrical about a point if that point is a midpoint between every point on the figure and a corresponding point on the figure.
A figure is symmetrical about a line if that line is the perpendicular bisector of the segment between any point on the figure and a corresponding point on the figure.
A figure has rotational symmetry if it can be rotated about a center and be congruent to itself. The number of different rotational angles for which this is true is the degree of the rotational symmetry.
Given figure
There is no point within the bounds of the figure that matches the definition of the center of symmetry about a point.
A vertical line through the center of the figure will serve as a line of symmetry. Each point on the left side of the line corresponds to a point on the right side of the line at the same distance. So, the figure has symmetry about a line.
There is no angle other than 360° through which the figure can be rotated to map to itself. It has no rotational symmetry.