draw all lines of symmetry for the following figure.

Explanation:

Step1: Recall line - symmetry concept

A line of symmetry divides a figure into two congruent parts.

Step2: Analyze the semi - circular shape

For a semi - circle, there is 1 line of symmetry which is the perpendicular bisector of the diameter.

Step3: Consider the square frame

A square has 4 lines of symmetry (2 diagonals and 2 lines joining mid - points of opposite sides). But the presence of the semi - circle restricts the overall lines of symmetry. The only line of symmetry for this combined figure is the vertical line passing through the center of the semi - circle and the center of the square (the perpendicular bisector of the diameter of the semi - circle).

Answer:

Draw a vertical line passing through the center of the semi - circle and the center of the square.