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Name:__________________________ Transformations Review Date:_____ Period:____ Ms. Anderle Transformations Review Sheet Complete all work on a separate sheet of paper. Graph each transformation. 1. ΔJKL has vertices J(6,-1), K(10,-2), and L(5,-3). Graph ΔJKL and its image after a T0,4 and a reflection in the y-axis. 2. ΔPQR has vertices P(1,1), Q(2,5), and R(4,2). Graph ΔPQR and its image after the glide reflection rx-axis ◦ T-3,-3. 3. Quadrilateral LISA has vertices L(-3,4), I(-1,3), S(-1,1), and A(-4,2). Graph LISA and its image after rx-axis ◦ T5,0 4. ΔTUV has vertices T(2,-1), U(5,-2), and V(3,-4). Graph ΔTUV and its image after a transformation (x,y)(x – 1, y + 5) and a rotation of 180˚. Is this a glide reflection? 5. ΔDFG has vertices D(2,8), F(1,2), and G(4,6). Graph ΔDFG and its image after ry=x ◦ T3,3. Is this a glide reflection? 6. If M is the transformation, (x,y) (-x,y-3), then what is the image of (-1,4) after the transformation M? 7. What is the image of point (-3,9), under the mapping M: (x,y) ( x, y)? 8. Given: Pentagon FRANK with coordinates F(2,2), R(4,0), A(2,-2), N(-2,-2), K(-4,0). Write the coordinates of the images of the given point after the transformation described. a. F’R’A’N’K’, the image of FRANK after a reflection in the line y=x b. F”R”A”N”K”, the image of F’R’A’N’K’ after a reflection in the y-axis. 9. Name the transformation that is not isometry. 10. Which transformation does not preserve orientation. 11. Graph ΔABC with vertices A(1,4), B(3,7), and C(5,1). Graph and label the composition T-5,-2 ◦ rx-axis. 12. Graph ΔTOM with vertices T(-2,3), O(4,5), and M(0,5). Graph and label the composition R90˚ ◦ ry-axis. 13. Graph ΔEMY with vertices E(2,5), M(8,7), and Y(6,4). Graph and label the composition R-90˚ ◦ T-5,1. 14. Graph ΔBUG with vertices B(1,1), U(1,5), and G(6,1). Graph and label the composition ry=x ◦ ry-axis. Is there a single transformation that can accomplish these transformations? 15. Draw in the lines of symmetry. 16. What is the definition of point symmetry?