In triangle and , ∠ = ∠, ∠ = ∠ and = 3. Then, the twotriangles are:

In △ and △F,∠ = ∠ ()∠ = ∠(given)By test of similarity △ ~ △Since, there are no congruence criteria like .Therefore △ and △ are similar but not congruent.Hence, option (b) similar but not congruent is correct.

In triangle and , ∠ = ∠, ∠ = ∠ and = 3. Then, the twotriangles are:

In △ and △F,∠ = ∠ ()∠ = ∠(given)By test of similarity △ ~ △Since, there are no congruence criteria like .Therefore △ and △ are similar but not congruent.Hence, option (b) similar but not congruent is correct.

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

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Congruent but not similar

Similar but not congruent

Neither congruent nor similar

congruent as well as similar

answer is B.

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Detailed Solution

In △𝐴𝐵𝐶 and △𝐷𝐸F,

∠𝐵 = ∠𝐸 (𝑔𝑖𝑣𝑒𝑛)
∠𝐹 = ∠𝐶(given)
By 𝐴𝐴 test of similarity △𝐴𝐵𝐶 ~ △𝐷𝐸𝐹
Since, there are no congruence criteria like 𝐴𝐴.
Therefore △𝐴𝐵𝐶 and △𝐷𝐸𝐹 are similar but not congruent.

Hence, option (b) similar but not congruent is correct.

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