Q

# You have to show that bigtriangleup AMP cong bigtriangleup AMQ. In the following proof, supply the missing reasons.

3. You have to show that $\bigtriangleup AMP\cong \bigtriangleup AMQ$. In the following proof, supply the missing reasons.

 Steps Reasons $(i)PM= QM$ $(i).......$ $(ii)\angle PMA = \angle QMA$ $(ii).......$ $(iii)AM= AM$ $(iii).......$ $(iv)\bigtriangleup AMP\cong \bigtriangleup AMQ$ $(iv).......$

 Steps Reasons $(i)PM= QM$ Given in the question $(ii)\angle PMA = \angle QMA$ Given in the question. $(iii)AM= AM$ the side which is common in both triangle $(iv)\bigtriangleup AMP\cong \bigtriangleup AMQ$ By SAS Congruence Rule