In △ABC and △PQR, AB=7m, BC=8m, AC=9m, PQ=7m, QR=8m and PR=9m. Which of the following is true for these triangles?
- A△CBA≅△PQR
- B△ABC≅△PQR
- C△ABC≅△RQP
- D△ABC≅△QRP
Solution & Step-by-step Explanation
Given the side lengths of both triangles:
AB=PQ=7m
BC=QR=8m
AC=PR=9m
By SSS (Side-Side-Side) Congruence Criterion, the corresponding vertices map exactly as:
A↔P
B↔Q
C↔R
Therefore, the correct congruence statement reflecting corresponding vertices is:
△ABC≅△PQR
AB=PQ=7m
BC=QR=8m
AC=PR=9m
By SSS (Side-Side-Side) Congruence Criterion, the corresponding vertices map exactly as:
A↔P
B↔Q
C↔R
Therefore, the correct congruence statement reflecting corresponding vertices is:
△ABC≅△PQR