Question #27829

1 Answer
Nov 6, 2017

Actually, some parallelograms have lines of symmetry. Others don't

Explanation:

Rhombi and squares actually have lines of symmetry:

![http://bbc.co.uk](https://useruploads.socratic.org/LCYVptjHT5C5wIUga7U7_1280px-Hydrogen_Deuterium_Tritium_Nuclei_Schmatic-en.svg.png)

So do rectangles:

enter image source here

But some parallelograms don't:

![http://education.vic.gov.au](https://useruploads.socratic.org/h5rL2f5QRaeC0L7wNUWg_1280px-Hydrogen_Deuterium_Tritium_Nuclei_Schmatic-en.svg.png)

It's simply a matter of the side lengths and angles in some parallelograms, which separate them and determine whether or not they have symmetry.

I hope that helps!