Question

which of the following summarizes the reflections that carry a parallelogram onto itself? (1 point)
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 does not have any lines of reflection.
a parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.
a parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.

Explanation:

A general parallelogram is not symmetric under reflection about any line. When we reflect a general parallelogram about a line (such as a diagonal, a vertical or horizontal line through mid - points), the resulting figure does not coincide with the original parallelogram.

Answer:

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