Question

Name Lesson 6 Practice Worksheet Analyze the two congruent triangles. Use à for triangles, for angles, XY for line segments and e for congruence. a. Write a congruence statement for the triangles. b. Identify a sequence of translations, reflections, and/or rotations that could be used to map one triangle onto the other triangle. c. Reverse the order of the transformations that you used in part (b). Does this order map one figure onto the other? d. Can you determine a way to map one triangle onto the other in a single transformation? Explain your reasoning

Answer 1

$\begin{array}{l} \left( c \right)\\ \\ yes\,\,rever\sin g\,\,the\,\,order\,\,maps\,\,\Delta UGT\,\,on\,\,\,\Delta ABC\\ \\ \left( d \right)\\ No,\,\,we\,\,can\,\,not\,\,map\,\,both\,\,triangles\,\,in\,\,a\,\,\sin gle\,\,transformations.\,\,\\ \\ {\rm{There}}\,\,{\rm{is}}\,\,{\rm{no}}\,\,{\rm{axis}}\,\,{\rm{of}}\,\,{\rm{symmetry}}\,\,{\rm{between}}\,\,{\rm{these}}\,\,{\rm{two}}\,\,{\rm{triagnles}}\,\,{\rm{and}}\,\,{\rm{they}}\,\,{\rm{first}}\,\,{\rm{have}}\,\,{\rm{to}}\,\,{\rm{be}}\,\,{\rm{reflected}}\,\,{\rm{for}}\,\,{\rm{the}}\,\,{\rm{transformation}} \end{array}$