Question:
In Δ ABC and ΔDEF, ∠B = ∠E, ∠F = ∠C and AB = 30E Then, the two triangles are
(a) congruent but not similar
(b) similar but not congruent
(c) neither congruent nor similar
(d) congruent as well as similar
Solution:
(b) In ΔABC and ΔDEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE
We know that, if in two triangles corresponding two angles are same, then they are similar by AAA similarity criterion. Also, ΔA8C and ΔDEF do
not satisfy any rule of congruency, (SAS, ASA, SSS), so both are not congruent.