Your Turn 1 Determine whether A DEFA GHJ Justify your reasoning EXPLAIN 2 Proving Triangles Are Congruent Using SAS Triangle Congruence Read Explain 1 and complete Your Turn 1 2 adapted from Lesson 5 3 Show all your work Given CD bisects AE Prove A ABC A EBD The SAS Triangle Congruence Theorem may be used as a reason in a proof To complete the proof you need to show that two sides and the included angle of one triangle are congruent to the corresponding sides and angle of the other triangle Example Use the figure to the right to complete the two column proof and AE bisects CD Statements 1 CD bisects AE 2 AB EB 3 AB EB 4 AE bisects CD 5 CB DB E H 2 5 cm 2 5 cm 77 2 9 cm 6 CB DB 4 LABC LEBD 5 AABC A EBD DO 1 7 cm 4 Given Reasons 1 Given 2 Definition of a Bisector 3 Definition of Congruence 5 Definition of a Bisector 6 Definition of Congruence 4 Vertical Angles are Congruent 5 SAS Triangle Congruence Theorem G 1 7 cm