Question 7
In ΔABCandΔDEF,∠B=∠E,∠F=∠C and AB = 3DE. Then the two triangles are
(A) Congruent but not similar
(B) Similar but not congruent
(C) Neither congruent not similar
(D) Congruent as well as similar
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Solution
(B) Similar but not congruent
In ΔABCandΔDEF, ∠B=∠E,∠F=∠C and AB = 3DE
We know that if in two triangles corresponding angles are same, then they are similar by AAA similarity criterion.
But ΔABCandΔDEF do not satisfy any rule of congruency like SAS, ASA, SSS. So, both the triangles are not congruent.