Use info to answer the questions below.

2. In the figure, point B is the midpoint of AC . Use the figure to answer the questions. A B D (a) Jeremy says that AABD =ACBD by the SAS congruence postulate. Do you agree or disagree? Explain. (b) Suppose it is also known that AD = CD . Which postulate or theorem can be used to prove that AABD EACBD ? Justify your answer. Answer:3. Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation. 5 D 4 3 P S W 1 +>X 5 -4 3 -2 -1 1 2 3 4 5 -1 -2 -3 -4 M -5 Answer:1. Provide reasons for the statements. Given: 21 and 23 are vertical angles. Prove: 41 = 23 2 4 3 Answer: Statement Reason 1. 21 and 23 are vertical angles. 1. Given 2. 21 and 42 form a linear pair. 2. Definition of linear pair 42 and 23 form a linear pair. 3. 21 and 42 are supplementary. 3. 42 and 23 are supplementary. 4. m/1+ m/2 = 180 4. m/2 + m23 = 180 5. m21+ m/2 = m/2 + m23 5, 6. m21 = m23 6. 7. 41 = 23