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!)

Answers (1)

P Pankaj Sanodiya

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 $\overline {DF}= \overline {MP}$ .