question_answer

You have to show that\[\Delta AMP\cong \Delta AMQ\]. In the following proof, supply the missing reasons.

Steps	Reasons
(1) PM = QM	(1) ______
(2) \[\angle \]PMA =\[\angle \]QMA	(2) ______
(3) AM = AM	(3) _______
(4) \[\Delta AMP\cong \Delta AMQ\]	(4) _______

Answer:

Item wise reasons are as under:

1. Given

2. Given

3. Common

4. By SAS criterion of congruence.