Final answer:
It is indeed possible to rotate a figure correctly 270 degrees clockwise. This rotation moves a figure, such as a triangle, into a new position by a quarter turn less than a full circle, repositioning its vertices according to the rotation direction.
Step-by-step explanation:
Yes, it is possible to complete a rotation correctly if you are told to rotate a figure 270 degrees clockwise. This type of rotation refers to spinning the figure around a fixed point, specifically a quarter turn less than a full circle. For example, consider a triangle as the figure; a triangle is a three sided figure lying on a plane with three angles adding up to 180 degrees. If the triangle is rotated 270 degrees clockwise, it will end up in a position where each corner of the triangle has moved to the location of the next corner in the direction of rotation.
In terms of rotational motion, direction can be either clockwise or counterclockwise. When discussing torque, which is the force that causes an object to rotate around a pivot point, the direction can also be defined as clockwise or counterclockwise. For instance, angular acceleration is considered positive when it's in the counterclockwise direction; however, a 270-degree clockwise rotation is simply a negative rotation by convention, but it does not affect the correctness of the rotation. The key is the consistency and accuracy of the rotation, regardless of direction.