Question

A parallelogram rotates about its center. At what angle of rotation will the image of the parallelogram coincide with its preimage? A. 30° B. 90° C. 180° D. 270° E. 315°.

Answer 1

On rotating the parallelogram with an angle of 180°, we can observe a coincidence between the image of parallelogram with its preimage. Hence, option (C) is correct.

The given problem is based on the fundamentals of parallelogram. A figure having four non-intersecting sides, such that each sides are opposite to each other are known as a parallelogram. For example - Rectangle, Square and Rhombus are the parallelogram.

• The meaning of Rotation is that the angle through which geometrical shape is Rotated. The Preimage and Image are Congruent after Rotation.
• It is given that ,a parallelogram rotates about its center. So, a complete revolution of parallelogram will execute an angle of 360°.
• So on Rotating the Parallelogram through Different angles that is 90°,180°,270°,and found that when the angle is 180°, the parallelogram coincide with its preimage.

Thus, we can conclude that on rotating the parallelogram with an angle of 180°, we can observe a coincidence between the image of parallelogram with its preimage.

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