Which of the following summarizes the reflections that carry a parallelogram onto itself?(1 point)ResponsesA 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 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 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 response is: A parallelogram has two lines of reflection: flipped on each diagonal will carry it onto itself.

A parallelogram has symmetry about its diagonals, which means that reflecting it across either diagonal will map the parallelogram onto itself. It does not have lines of reflection through the midpoints of the sides unless it is a special type of parallelogram (like a rectangle or a square).