Parallelograms can be tricky when we think about symmetry because their sides and angles can be different lengths.

Here are the two main ways they show symmetry:

1. Reflective Symmetry:

   • A parallelogram has two lines of symmetry.
   • One line cuts through the middle of opposite sides.
   • The other line goes through opposite corners (or vertices).

2. Rotational Symmetry:

   • Parallelograms can be rotated, and if you turn them $180^\circ$, they look the same.
   • This means they have a rotational symmetry of order 2.

Even with these features, many students find it hard to picture symmetry.

To get better at understanding symmetry, it helps to practice drawing shapes and using special geometry software. This practice can make figuring out symmetry easier and more fun!