Fill in the Blanks
In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are ______.
congruent but not similar
similar but not congruent
neither congruent nor similar
congruent as well as similar
In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are similar but not congruent.
In ∆ABC and ∆DEF, ∠B = ∠E,
∠F = ∠C and AB = 3DE
We know that, if in two triangles corresponding two angles are same, then they are similar by AA similarity criterion.
Since, AB ≠ DE
Therefore ∆ABC and ∆DEF are not congruent.
Concept: Similarity of Triangles
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