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

Question

A. A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.
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 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.

Answer 1

The correct answer is C. A parallelogram has two lines of reflection: one along each diagonal that will carry it onto itself.

To clarify:

• A parallelogram does not have horizontal or vertical lines of symmetry that run through the midpoints of its sides. Instead, the lines of reflection are the diagonals.
• Therefore, statement A is incorrect as it overstates the number of lines of symmetry.
• Statement B is incorrect because it states that a parallelogram has no lines of reflection.
• Statement D is also incorrect since it incorrectly mentions horizontal and vertical lines of reflection that do not apply.

Thus, the most accurate summary is provided in option C.