Question

In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are but not ______.

Answer 1

In ΔABC and ΔDEF, if ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are similar but not congruent.

Explanation:

Since ∠B = ∠E and ∠C = ∠F, the triangles are similar by the AA criterion (corresponding angles equal ⇒ corresponding sides are proportional). Because AB corresponds to DE and AB = 3DE, the common ratio (scale factor) is 3 (not 1), so the triangles are not congruent.