Definition: A translation through a vector PO is a transformation of a plane, denoted Tpq, such that if TPQ maps X to X', then the vector XX = PO. == Definition: A rotation about a point C through an angle with measure 0, denoted Rc,e, is a transformation of a plane where Cis mapped to itself and for any point X distinct from C if Rce maps X to X', then d(X', C) = d(X, C) and m (ZXCX') = 0. C is called the center of the rotation. Definition: A transformation f is a symmetry of a point set if and only if the point set is invariant under the transformation. 1. Draw the resulting image after applying each given transformation to the given geometric figure. (a) TAB (c) Ro.90 A(-2,0) B(0,3) 0 D(0,-2) C(4,0) (b) TCD (d) RD,270 2. For each given isometry, draw an example of a collection of points that is invariant under that isometry. (a) TAD (b) Ro,180