Question

symmetry quick check
which of the following summarizes the reflections that carry a parallelogram onto itself? (1 point)
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
a parallelogram does not have any lines of reflection
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

Explanation:

Step1: Recall properties of parallelogram

A general parallelogram does not have lines of reflection that carry it onto itself. When we try to reflect a parallelogram over its diagonals, the two - halves do not match exactly. Also, reflecting over a horizontal or vertical line through the mid - points of the sides does not result in the parallelogram mapping onto itself.

Answer:

A parallelogram does not have any lines of reflection.