Which of the following summarizes the reflections that carry a parallelogram onto itself?

Question

a. A parallelogram has two lines of reflection that carry it on itself: one horizontal through the midpoints of each side, and one vertical through the midpoints of the top and bottom
b. A parallelogram does not have any lines of reflection
c. A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself
d. A has four lines of symmetry; horizontal through the midpoints, vertical through the midpoints, and both diagonals

Answer 1

The correct option is:

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

This is true because a parallelogram can be reflected over its two diagonals, which results in the same shape being obtained. The horizontal and vertical lines mentioned in option (a) do not correctly describe the lines of reflection for a general parallelogram, and option (d) incorrectly claims that it has four lines of symmetry. Therefore, option (c) best summarizes the reflections that carry a parallelogram onto itself.