Which of the following summarizes the reflections that carry a parallelogram onto itself?(1 point)

Question

Responses

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 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 does not have any lines of reflection.

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: flipped on each diagonal will carry it onto itself.

Answer 1

The statement that correctly summarizes 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 is symmetric with respect to its diagonals. Each diagonal acts as a line of reflection that maps the parallelogram onto itself. The other options incorrectly describe the lines of symmetry for a parallelogram.