Written Assignment 7: Dilutions and Symmetry 1. Apply the indicated geometric transformations to Figures A and C below. Then draw all lines of symmetry for each of the resulting figures and ll in the blanks. - Dilate A by a factor of -1/2 with center - Dilate C by a factor of 2 with center at at the origin to obtain B. the origin to obtain D. . Rotate A and B angles 90, 180, and - Rotate C and D angles 90, 180, and 270 (or -90) with center at the origin. 270 (or -90) with center at the origin. Number of lines of symmetry: Number of lines of symmetry: Rotational Symmetry: -fold symmetry Rotational Symmetry: -fold symmetry Centrally symmetric? (Circle one) Yes / No Centrally symmetric? (Circle one) Yes/No 2. Determine all symmetries of this gure. a) Draw any lines of symmetry. b) Determine the angles of rotational symmetry: c) Is this gure centrally symmetric? 3. G0 to the website http'. z [wwnng'escherrgm Zga Merygmathematicalz and open M. C. Escher's painting \"Circle Limit IV\". Determine its symmetries: a) How many lines of symmetry are there? b) What are the angles of rotational symmetry? c) Is this painting centrally symmetric? (Circle one) Yes /No 249