Q: Which shapes have a diagonal which is also a line of symmetry?

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A square

Pentagon

effectively yes. Diagonal symmetry is when the line of symmetry goes diagonally, rather than horizontally or vertically

It has a line of rotational symmetry - along the diagonal.

Axis of symmetry.

yes

No.

Yes * * * * * Not generally.

yes

All regular shapes have a line of symmetry. But you can get rid of its line of symmetry by making it irregular (so the angles aren't the same).

no.

If you draw a diagonal line from corner to corner of a parallelogram, that is a line of symmetry.