Complete a simple symmetric figure with respect to a specific line of symmetry - Reasoning

To complete a simple symmetric figure with respect to a specific line of symmetry, one must first understand the concept of symmetry. Symmetry in geometry means that one shape becomes exactly like another when you move it in some way: turn, flip or slide. For a figure to be symmetric with respect to a line, each point on one side of the line must have a corresponding point on the other side at the exact same distance from the line but in the opposite direction. This line is known as the line of symmetry.

In a reasoning task involving symmetry, you would typically be given a figure with a line of symmetry and only one half of the figure drawn in. To complete the figure, you must reflect the given half across the line of symmetry. This involves identifying corresponding points and ensuring that they are equidistant from the line. For example, if there is a point 2 cm above the line of symmetry on the left side, you must place a corresponding point 2 cm below the line on the right side. This process is repeated for all points and lines in the given half of the figure until a full, symmetric figure is formed. The completed figure should be an exact mirror image of the original half across the line of symmetry.