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You want to establish bigtriangleup DEF cong bigtriangleup MNP, using the ASA congruence rule. You are given that angle D= angle M and angle F= angle P. What information is needed to establish the congruence? (Draw a rough figure and then try!)

2. You want to establish \bigtriangleup DEF\cong \bigtriangleup MNP, using the ASA congruence rule. You are given that \angle D= \angle M and\angle F= \angle P. What information is needed to establish the congruence? (Draw a rough figure and then try!)
        

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As we know, in ASA congruency two angles and one side is equated to their corresponding parts. So

To Prove \bigtriangleup DEF\cong \bigtriangleup MNP

\angle D= \angle M

\angle F= \angle P

And The side joining these angles is 

 \overline {DF}= \overline {MP}.

So the information that is needed in order to prove congruency is \overline {DF}= \overline {MP}.

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