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For the transformation to be defined as a rotation, which statements must be true? Check all that apply.









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 360° about point C, it will be mapped onto itself.

For the transformation to be defined as a rotation which statements must be true Check all that apply The segment connecting the center of rotation C to a point class=

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YellowGold
For the transformation to be defined as a rotation, these statements are true.

1) The transformation is rigid.
2) Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. 
→ P to P' is 90°
→ P' to P'' is 90°
→ P'' to P''' is 90°
4) If figure 1 is rotated 360° about point C, it will be mapped onto itself.

For the figure given , when rotation is the transformation , The statement that stands true are Option B , C and E.

What is Rotation ?

Rotation is the movement of a point w.r.t the centre , the point travels in a circle and is always at a fixed distance from the centre.

Fro seeing at the figure the following statement can be found true

The transformation is rigid  ,as the size and shape is not changing

Every point on figure 1 moves through the same angle of rotation about the centre of rotation, C, to create figure 2.

→ P to P' is 90°

→ P' to P'' is 90°

→ P'' to P''' is 90°

If figure 1 is rotated 360° about point C, it will be mapped onto itself.

Therefore Option B , C , E are true

To know more about Rotation

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