Statement (A) : The area of the triangle form | vedclass

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(A) The area of a triangle is invariant under the translation of axes.Let the vertices of the first triangle be $A(20, 22), B(21, 24), C(22, 23)$.By t

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$A$ and $R$ are both independently true and $R$ is the correct explanation for $A$.

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(A) The area of a triangle is invariant under the translation of axes.Let the vertices of the first triangle be $A(20, 22), B(21, 24), C(22, 23)$.By translating the origin to $(20, 22)$,the new coordinates become:$A' = (20-20, 22-22) = (0, 0)$$B' = (21-20, 24-22) = (1, 2)$$C' = (22-20, 23-22) = (2, 1)$Since the area remains invariant under translation,the area of $	riangle ABC$ is equal to the area of $	riangle A'B'C'$,which is the same as the triangle formed by points $P(0, 0), Q(1, 2),$ and $R(2, 1)$.Thus,both Statement $(A)$ and Reason $(R)$ are true,and $(R)$ is the correct explanation for $(A)$.

Statement $(A) :$ The area of the triangle formed by the points $A (20, 22), B (21, 24),$ and $C (22, 23)$ is equal to the area of the triangle formed by the points $P (0, 0), Q (1, 2),$ and $R (2, 1).$
Reason $(R) :$ The area of a triangle remains invariant under the translation of axes.

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Statement $(A) :$ The area of the triangle formed by the points $A (20, 22), B (21, 24),$ and $C (22, 23)$ is equal to the area of the triangle formed by the points $P (0, 0), Q (1, 2),$ and $R (2, 1).$Reason $(R) :$ The area of a triangle remains invariant under the translation of axes.