Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one

Question

3 years ago

8

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

Mathematics

2 answers:

Katen [24] · Answer 1 · 2022-05-27T01:05:54+03:00

Katen [24]3 years ago

6 0

Answer:

C. a 180° rotation about its center.

belka [17] · Answer 2 · 2022-05-27T02:20:25+03:00

<u>Answer:</u>

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

<u>Step-by-step explanation:</u>

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.