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By applying SAS congruence rule, you want to establish that bigtriangleup PQRcong bigtriangleup FED. It is given that PQ= FE and RP= DF. What additional information is needed to establish the congruence?

2. By applying SAS congruence rule, you want to establish that  \bigtriangleup PQR\cong \bigtriangleup FED. It is given that PQ= FE and RP= DF. What additional information is needed to establish the congruence?

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 To prove congruency by SAS rule, we need to equate two corresponding sides and one corresponding angle,

so in   proving \bigtriangleup PQR\cong \bigtriangleup FED we need,

PQ= FE

RP= DF

And

\angle P = \angle F.

Hence the extra information we need is \angle P = \angle F.

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