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.

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Answer:

  all but the last two

Step-by-step explanation:

Rotation is a rigid transformation that moves every point of a figure through the same rotation angle about the center of rotation. Each point has the same distance from the center it had before the rotation. Hence the following are true:

  • 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.

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Statements that do not apply are ...

- Segment CP is parallel to segment CP'. (A segment to the center of rotation will only be parallel to the corresponding segment on the image if the rotation is a multiple of 180°.)

- If the figure is rotated 180° about C, it will be mapped to itself. (This will be true in general only if C is a center of rotational symmetry of even order.)

Answer:

A,B,C

Step-by-step explanation:

I'm sure cause I got it right depends what your Edgenu is, mine is 2020

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