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It is a line through the point of symmetry. In general it is not an axis of symmetry.

Q: What is a point of symmetry and a line containing that point?

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false

There are infinitely many such shapes. To start with, any regular will do.

Yes a line of symmetry creates a 'mirror image' of each side.

Both

... point on the other side of the line at the same distance from the lien.

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false

False

true

Line symmetry = Reflection symmetry. Point symmetry = Rotational symmetry.

The letters S and N have point symmetry but not line symmetry.

True.

the distance from a point on either ray of the angle that is equidistance from the axis of symmetry is the line of symmetry. the line of symmetry dives the angle in half.

A line but not a point.

If it is a straight line then it has lateral symmetry along its length. It also has symmetry at every point along its length.

Only if it is in the form of an isosceles trapezoid

There are infinitely many such shapes. To start with, any regular will do.

If the central point of the straight line is placed exactly on the middle, and such central point has an axis, it will have a rotational symmetry.