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.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: