Question

Please help me with these questions thank you.

Answer 1

How can you justify that YZ is congruent to RM?
Your answer will be: (The first option) CPCTC
Which statement cannot be justified given that triangle PBJ is congruent to triangle TIM?
Your answer will be: (The last option) segment JP congruent to segment MI
Which theorem or postulate can you use to prove triangle ADM congruent to triangle ZMD?
Your answer will be (The third option) SAS

Answer 2

Answer:

CPCTC; JP≅MI; SAS

Step-by-step explanation:

For the first question, we use the congruence statement.  When we are using the congruence statement to match corresponding pieces, the justification is that Congruent Parts of Congruent Triangles are Congruent, or CPCTC.

For the second question, we again use CPCTC and the congruence statement.  P matches T and B matches I, so PB = TI and B = I.  J matches M also, so BJP = IMT.  However, P does not match I, so JP does not equal MI.

For the third question, we have two sides (AM matching ZD and BD matching itself) and an included angle (AMD and ZDM).   This is Side-Angle-Side, or SAS.