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Adya Sharma asked a question
Subject: Maths, asked on on 5/10/12

    ABC XYZ
  • Two sides and the included angle are congruent
    • AC = ZX (side)
    • ACB = XZY (angle)
    • CB = ZY (side)
  • Therefore, by the Side Angle Side postulate, the triangles are congruent.
  • Side Angle Side Postulate

    If we can prove SAS congruence by this method, why can't we prove ASA congruence by this ?

    We can take two triangles ABC and DEF with angle A = angle D, angle B = angle E and side AB = DE ..!

    Then we can simply put triangle DEF over triangle ABC and we'll see that all its corresponding parts will coincide which indeed proves that both the triangles are congruent. Thus equal in area.

    I just want to know why can't we prove ASA congruence by this method ?
    Please answer it as soon as possible.

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