figure 2 was constructed using figure 1. for the transformation to be defined as a rotation, which…

figure 2 was constructed using figure 1. for the transformation to be defined as a rotation, which statements must be true? select three options. the segment connecting the center of rotation, c, to a point on the pre - image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). the transformation is rigid. every point on figure 1 moves through the same angle of rotation about the center of rotation, c, to create figure 2. segment cp is parallel to segment cp. if figure 1 is rotated 180° about point c, it will be mapped onto itself.

figure 2 was constructed using figure 1. for the transformation to be defined as a rotation, which statements must be true? select three options. the segment connecting the center of rotation, c, to a point on the pre - image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). the transformation is rigid. every point on figure 1 moves through the same angle of rotation about the center of rotation, c, to create figure 2. segment cp is parallel to segment cp. if figure 1 is rotated 180° about point c, it will be mapped onto itself.

Answer

Brief Explanations:

  1. In a rotation, the distance from the center of rotation to a point on the pre - image is equal to the distance from the center of rotation to the corresponding point on the image because rotation is a rigid transformation.
  2. A rotation is a rigid transformation which preserves the shape and size of the figure.
  3. Every point on the pre - image moves through the same angle of rotation about the center of rotation to create the image. Segment CP and segment CP' are not parallel in a non - 0 or non - 360 degree rotation, and figure 1 is not symmetric about point C in a way that a 180 - degree rotation maps it onto itself.

Answer:

The segment connecting the center of rotation, C, to a point on the pre - image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.