W A ( 4 , 4 ) B ( 10, 4 ) C ( 8, 7) D ( 5, 7 ) P = 4 10 8 5 4 4 7 7 - 1 To reflect by CD Bring CD to x axis T =loo 0 1 - 7 Reflect by ac axis Re,c = 0 -10To = 10 - 6.82 0 1 - 8.58 pill = TSP" = - 2 . 82 1. 41 2. 12 0 1. 41 5. 65 2.12 O - - a ( - 2 . 82 , 1. 41 ) 6" ( 1. 41 , 5.65) ( " ( 2.12 , 2.12 ) d"(o, 0)YA D C A B XProblem 3. The trapezoid 1s shown in the sketch below 1n 1ts onginal position. The imitial coordinates of the vertices are A(4,4), B(10.4), C(8.7), and D(5,7). The trapezoid 1s reflected about hne CD, 1s then rotated 45 CCW about the transformed Point A, and is finally translated such that the transformed point D coincides with the origin. Determine the final transformed coordinates of the vertices: A',B,C' and D" \fRotate by 45 CCW RI = [cos 45 - Sin 45 O Sin 45 Cos 45 0 O O Translate it back O 10 LOG P " = Ty R, T , P = 4 8.24 8. 94 6. 82 7 10 14.24 10.70 8.58 - d'( 6.82, 8.58) To translat it to origin