Transformations — Translation, Reflection & Rotation

Transformations — Translation, Reflection & Rotation ( Slides, Flips and Turns) TRANSLATION: E1 . Slide (t ranslat e) eac h f igure ac c ording t o t he arrow s. Out line t he new posit ion. A C B C C CN BN E2 . Find t he v ect or (arrow ) of t ranslat ion t hat t akes f igure A t o A ’ ; do t he sam e, f or B t o B’ B and f or C t o C’ , C’ A’ A B’ C REFLECTION: E3 . Flip (ref lect ) each f igure ov er t he line l l D B A E4 . C Find a line of ref lec t ion of t he plane t hat w ould m ov e f igure A t o A ’ , B t o B’ , C t o C’ A B B’ C’ C A’ E5 . Can y ou f ind a line of ref lec t ion t hat w ould put eac h f igure bac k on t op of it self ? (If so, how m any ?) A B ONE C ONE D TW O E FOUR F TW O G NONE !! INFINITELY M ANY Transformations Continued ROTATIONS: E6 . Rot at e each f igure about t he point O according t o t he giv en angle and direct ion. C O O C @ A . 9 0 E (c ount erc loc k w ise) E7 .* O C B. 1 8 0 E C. 2 7 0 E Sorry t his w asn’ t supposed t o be so J am m ed ! Find t he cent er of rot at ion t hat t ak es f igure A t o A ’ . W hat is t he angle of rot at ion? 9 0 E (Hint : W hen t he plane rot at es, w hat pat h do t he point s f ollow ?) C C A’ The angle of rot at ion SHOULD be 9 0 E since t he arrow t urned f rom point ing st raight up t o point ing lef t ! A Cent er of rot at ion ü ²Cent er of rot at ion f or E8 E8 .* Find t he cent er and angle of rot at ion t hat t akes f igure B t o B’ . The red arcs locat e perpendicular bisect ors of segm ent s joining corresponding point s(1 & 1 , and 2 & 2 – show n blue). Those perpendicular bisect ors m eet at t he cent er of rot at ion, bec ause t he point s are A LL rot at ing around ONE cent er. E B E The deep blue lines show us t he angle t hrough w hich t he point labelled “ 1 " rot at ed. It m easures close t o 5 5 E. BN E9 . Ident if y t he t y pe of t ransf orm at ion t hat t akes t he dot t ed f igure t o each of t he result s, A , B, C, D, E & F . A B. Ref lect ion C. Rot at ion E. Translat ion F.* Ref lect ion D. Translat ion Glide-ref lect ion See Self -Test answ ers f or sim ilar ex am ples w it h bet t er illust rat ed answ ers.