Question

In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are ______.

Options

• congruent but not similar

• similar but not congruent

• neither congruent nor similar

• congruent as well as similar

Answer 1

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

Explanation:

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.