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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)

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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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Pankaj Sanodiya

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