AMSCO'S Geometry. New York - Rye High School

500 Ratio, Proportion, and SimilarityIn 21–24, each transformation is the composition of a dilation and a reflection in either the x-axisor the y-axis. In each case, write a rule for composition of transformations for which the image of Ais A.21. A(3, 3) → AA 9 2 , 29 2 B22. A(5, 1) → A(20, 4)23. A(20, 12) → A(5, 3)24. A(50, 35) → A(10, 7)25. In the diagram, ABC is the imageof ABC. Identify three specifictransformations, or compositions oftransformations, that can map ABCto ABC. Justify your answer.BACyCAxBApplying Skills26. If the coordinates of points A and B are (0, 5) and (5, 0), respectively, and A and B are theimages of these points under D 3, what type of quadrilateral is ABArBr? Justify youranswer.A27. Prove that if the sides of one angle areparallel to the sides of another angle, theangles are congruent.HgGiven: BA h ED h, BC h EF h, and BEGB CProve: ABC DEFDEGF28. The vertices of rectangle ABCD are A(2, 3), B(4, 3), C(4, 1), and D(2, 1).a. Find the coordinates of the vertices of ABCD, the image of ABCD under D 5.b. Show that ABCD is a parallelogram.c. Show that ABCD ABCD.d. Show that ABC ABC.