Point D is 14 ,m towards the West of point A. | vedclass

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(D) Let us represent the points on a Cartesian coordinate system,taking point $A$ as the origin $(0, 0)$.$A = (0, 0)$$D$ is $14 \,m$ West of $A$,so $D

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$E, G, B$

Vedclass · Answer

(D) Let us represent the points on a Cartesian coordinate system,taking point $A$ as the origin $(0, 0)$.$A = (0, 0)$$D$ is $14 \,m$ West of $A$,so $D = (-14, 0)$.$B$ is $4 \,m$ South of $D$,so $B = (-14, -4)$.$F$ is $9 \,m$ South of $D$,so $F = (-14, -9)$.$E$ is $7 \,m$ East of $B$,so $E = (-14 + 7, -4) = (-7, -4)$.$C$ is $4 \,m$ North of $E$,so $C = (-7, -4 + 4) = (-7, 0)$.$G$ is $4 \,m$ South of $A$,so $G = (0, -4)$.Now,check the collinearity of the points in the options:For option $D$: $E(-7, -4), G(0, -4), B(-14, -4)$. Since all these points have the same $y$-coordinate $(-4)$,they lie on the horizontal line $y = -4$. Thus,$E, G, B$ are in a straight line.

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