Possible Answers:
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. A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself. 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.
1 answer
The correct summary regarding the reflections that carry a parallelogram onto itself is:
A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.
This is because a parallelogram has symmetry across its diagonals, and those are the only lines that reflect the shape onto itself. The other options that mention horizontal and vertical lines of reflection are not correct in the context of a general parallelogram.
