Symmetry of a Complex Shape

Hard Geometry And Spatial Sense Symmetry

Look at the figure below:

Symmetrical Figure

This figure is a complex shape composed of a rectangle and half circles on two of its sides. If a vertical line is drawn down the center of the rectangle, which of the following statements about symmetry is true?

The shape has one line of symmetry along the vertical line.

The shape is rotationally symmetric and can be rotated 90 degrees to look the same.

The shape has two lines of symmetry: one vertical and one horizontal.

The shape has no lines of symmetry.

Hint

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