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 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.
1 answer
The correct summary is: A parallelogram has four lines of symmetry: horizontal through the midpoints, vertical through the midpoints, and both diagonals.
A parallelogram indeed has two lines of reflection that correspond to the diagonals, which can also be stated as having two lines of symmetry (the diagonals) in addition to the horizontal and vertical lines through the midpoints of opposite sides, thus giving a total of four lines of symmetry.
