Which transformation will always map a parallelogram onto itself? a. a 90° rotation about its center b. a reflection across one of its diagonals c. a 180° rotation about its center d. a reflection across a line joining the midpoints of opposite sides

The correct answer option is C. a 180° rotation about its center.

Step-by-step explanation:

We are to determine whether which of the transformations will always map a parallelogram onto itself.

We know that a parallelogram has a rotational symmetry of 2 so during a rotaion of 360 degrees, a parallelogram maps onto itself twice, which is at 180^{\circ} and 360^{\circ} about its center.

Therefore, the correct answer option is C. a 180° rotation about its center.

well

44-3-3-3=35

35+4+4+4+4=51

so the ansewr would be 51 degreesat 7: 00