Name 4-4 Mathematical Literacy and Vocabulary Proving and Applying the ASA and AAS Congruence Criteria Problem Given: the figure shown Prove: AABQ = AXYQ Explain Work Justify First, list the information that is given BQ = YQ Given directly in the diagram. LA and LX Are right LS. Second, use the fact that all right angles LA = LX All right angles are congruent to each other. Are congruent. Next, use the fact that vertical angles are LAQB = LXQY Vertical congruent. Angles Theorem Finally, determine which theorem can be A ABQ = A XYQ Angle Angle-Side Used to prove the triangles congruent. (AAS) Theorem Exercise Given: the figure shown Prove: AHIL = AKU Explain Work Justify HJ II KL HL Il K] ZHJL = LKLJ LHLJ = LKJL JL = LJ A HJL =A KLJ Geometry @ Dr. Smith