In the figure, two sides AB, BC and the median AD of ΔABC are respect

1.	In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that(i) ΔADB ≅ ΔPSQ;(ii) ΔADC ≅ ΔPSR.Does it follow that triangles ABC and PQR are congruent?
Answer» In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that (i) ΔADB ≅ ΔPSQ; (ii) ΔADC ≅ ΔPSR. Does it follow that triangles ABC and PQR are congruent?

In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that(i) ΔADB ≅ ΔPSQ;(ii) ΔADC ≅ ΔPSR.Does it follow that triangles ABC and PQR are congruent?

Answer»

In the figure, two sides AB, BC and the median AD of ΔABC are respectively equal to two sides PQ, QR and median PS of ΔPQR. Prove that

(i) ΔADB ≅ ΔPSQ;

(ii) ΔADC ≅ ΔPSR.

Does it follow that triangles ABC and PQR are congruent?