In ∆ABC and ∆PQR, AB = 7 m, BC = 8 m, AC = 9 m, PQ = 7 m, QR = 8 m and PR = 9 m. Which of the following is true for these triangles?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e ∆ABC ≅ ∆PQR.
Comparing the corresponding sides:
AB = PQ = 7 m
BC = QR = 8 m
AC = PR = 9 m
Since all three corresponding sides of ∆ABC are equal to the three corresponding sides of ∆PQR (SSS congruence criterion), the two triangles are congruent.
∆ABC ≅ ∆PQR