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2/21/2017 Find the missing angle Prebell 1. If a figure drawn in quadrant II is rotated 270° counterclockwise, in which quadrant does its image lie? 2. Triangle π΄π΅πΆ has vertices at π΄ 0, 2 , π΅ β3, 4 , πΆ(6, 11). It undergoes a transformation, and now its image is graphed at π΄β² β4, 7 , π΅β² β7, 9 , πΆβ² 2, 16 . What was the transformation? Congruent Figures β’ Congruent (β ) Figures β have the same size and shape; corresponding angles and sides have equal measures Tell whether the two figures are congruent. Explain your reasoning. 1. Answer the question 2. What do you know about the topic? 3. Connect what you know to the problem. β Corresponding Angles β angles that match β Corresponding Sides β sides that match The figures are congruent. β’ Identify corresponding sides and angles. The figures are congruent. a. What is the length of side CD? The fronts of the houses are identical. a) What is the length of side πΏπ? b) Which angle of π½πΎπΏππ corresponds to β π·? b. Which angle of KLMN corresponds to β π΅? c. What is the perimeter of ABCD? c) Side π΄π΅ is congruent to side π΄πΈ. What is the length of side π΄π΅? d) What is the perimeter of π΄π΅πΆπ·πΈ? 1 2/21/2017 WB p. 24 Sequence of Transformations Two figures are congruent if one can be obtained from the other by a sequence of translations, reflections, and rotations. Identify a sequence of transformations that will transform figure π΄ into figure π΅. β’ Which transformation(s) change the orientation of figures? β’ Which do not? β’ Two figures have the same size and shape. What does this indicate about the figures? Identify a sequence of transformations that will transform figure π΅ into figure πΆ. Identify a sequence of transformations that will transform figure π· into figure πΈ. 2