Question

Which of the following summarizes the reflections that carry a parallelogram onto itself?(1 point)
Responses

A parallelogram has two lines of reflection that carry it onto itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom.
A parallelogram has two lines of reflection that carry it onto itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom.

A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.
A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.

A parallelogram does not have any lines of reflection.
A parallelogram does not have any lines of reflection.

A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.

Answer 1

The correct summary is:

**A parallelogram has two lines of reflection that carry it onto itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom.**

However, note that a parallelogram also has two additional lines of reflection along its diagonals, which means it actually has four lines of symmetry in total: horizontal, vertical, and both diagonals. The best option that features this complete set of symmetries would be:

**A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.**

So, if the focus is strictly on lines of reflection that carry it onto itself, the diagonal reflections should also be included.