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Mathematics

In △ABC and △PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

  1. isosceles but not congruent

  2. isosceles and congruent

  3. congruent but isosceles

  4. neither congruent nor isosceles

Triangles

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Answer

Given AB = AC hence ABC is isosceles.

∴ ∠B = ∠C

∠B = ∠P = ∠Q.

Since, ∠P = ∠Q so, PR = QR, hence PQR is isosceles.

Hence, Option 1 is the correct option.

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