20 points! !
which property of a rigid transformation is exclusive to rotations?
a. the measures of the angles and sides in the preimage are preserved.
b. a line segment connecting the image to the preimage forms a 90° angle with the center of rotation.
c. the distance from each point on the image to the center of rotation is preserved. d. all the points on the image move along a parallel line when the preimage is transformed.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem