Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which are not changed after a rotation? check all that apply. angle mea…

Question

which are not changed after a rotation? check all that apply. angle measures orientation size shape position of center of rotation

Explanation:

Brief Explanations
  • Angle measures: Rotation is a rigid transformation. In a rigid transformation, the angle measures of a figure remain the same. For example, if we have a triangle and rotate it, the angles of the triangle do not change.
  • Size: Rigid transformations (like rotation) preserve the size of the figure. A square rotated by any angle will still have sides of the same length as the original square.
  • Shape: Since rotation is a rigid transformation, the shape of the figure is maintained. A circle rotated about its center is still a circle.
  • Position of center of rotation: The center of rotation is a fixed point. When we rotate a figure, this point does not move.
  • Orientation: Orientation can change. For example, if we rotate a letter 'L' 90 degrees, its orientation (the direction in which it "points") changes.

Answer:

angle measures, size, shape, position of center of rotation.