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MCQ

Fill in the Blanks

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

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#### Solution

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.

Concept: Similarity of Triangles

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