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).......

                                              

Answers (1)
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

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