Question

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

Answer 1

The correct response is: **A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.**

In a parallelogram, there are indeed four lines of symmetry:
1. One vertical line through the midpoints of the top and bottom sides,
2. One horizontal line through the midpoints of the left and right sides,
3. One diagonal line from one vertex to the opposite vertex, and
4. Another diagonal line from the other pair of opposite vertices.

Thus, a parallelogram is symmetric with respect to these four lines.