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Question 7
In ΔABC and ΔDEF,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


Solution

(B) Similar but not congruent

In ΔABC and ΔDEF,
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 ΔABC and ΔDEF do not satisfy any rule of congruency like SAS, ASA, SSS. So, both the triangles are not congruent.

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