Question

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by $ASA$ congruence rule. In case of congruence, write it in the symbolic form

Answer 1

• (1) In $△DEF\&△PQR$,

$\angle D=\angle Q\left(\text{Given}\right)$

$DF=QR\left(\text{Given}\right)$

$\angle F=\angle R\left(\text{Given}\right)$

$\therefore △DEF\cong △PQR\left(\text{ASA congruent rule}\right)$

• (2) In $△DEF\&△PQR$,

$\angle D=\angle Q\left(\text{Given}\right)$

$DF=PQ\left(\text{Given}\right)$

$\angle F=\angle R\left(\text{Given}\right)$

$\therefore △DEF\cong △PQR\left(\text{ASA congruent rule}\right)$

• (3) In $△DEF\&△PQR$,

$\angle E=\angle P\left(\text{Given}\right)$

$EF=PQ\left(\text{Given}\right)$

$\angle F=\angle R\left(\text{Given}\right)$

$\therefore △DEF\cong △PQR\left(\text{ASA congruent rule}\right)$

Hence, this is the answer.