How can you determine planes of symmetry for an object?
What will be an ideal response?
To determine planes of symmetry for an object, you might want to sketch a dashed line on a surface of the object where you think a plane "splits" the object into two symmetrical parts. If you extend this line in your imagination, you can visualize an infinite plane. Look on each side of the dashed line you sketched on the object. Is one side a mirror image of the other side? If the sides are mirror images, then the dashed line you drew lies within a plane of symmetry; if the sides are not mirror images, then your dashed line does not lie within a plane of symmetry for the object.
You probably want to start with horizontal or vertical planes to identify an object's potential planes of symmetry. But what about planes that are neither vertical nor horizontal? Those planes can be handled as was just shown for vertical and horizontal planes. First, sketch a line on the object that you think will lie within an imagined plane of symmetry; then examine each side of the object to see if the two halves sliced by the plane are mirror images of each other. This time the lines you sketch will be at an angle and not horizontal or vertical.
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