Answer:
reflection across a line joining the midpoint of the non parallel sides...I think this is the answer
Answer: The answer is (d) rotation by 360° about its center.
Step-by-step explanation: As shown in the attached figure, AB and CD are parallel sides of an isosceles trapezoid ABCD with center 'O' and AD and BC are equal and non-parallel sides.
(i) If ABCD is rotated by 180° about its center, then the new figure will not coincide with the original one. So, this option is not correct.
(ii) If ABCD is reflected across a diagonal, then also the new figure will be reverse of the original one and so this option is also incorrect.
(iii) If ABCD is reflected across a line joining the mid-points of the non-parallel sides, then also the two figures will be opposite of each other. This option will also not work.
(iv) If we rotate ABCD through 360° about center 'O', the both the figures will coincide with each other.
Thus, the correct option is (d) rotation by 360° about its center.
