A (- 2, 2), B(8, 2) and C(4, - 4) are the vertices of a parallelo… - Vidyadip

Question

$A (- 2, 2), B(8, 2)$ and $C(4, - 4)$ are the vertices of a parallelogram $\text{ABCD}$.
By plotting the given points on a graph paper; find the co$-$ordinates of the fourth vertex $D$.
Also, form the samegraph,state the co$-$ordinates of the mid$-$points of the sides $AB$ and $CD$.

✓

Answer

Plot the points $A, B,$ and $C$ on the graph paper.
Join the points to complete the parallelogram $\text{ABCD}$.
As the distance between points $A$ and $B$ is $10$ units,
distance between the corners of the opposite side $C$ and $D$ will also be $10$ units.

Hence, the fourth point $D = (- 6, - 4)$
Mid point of $AB$ will lie at $5$ units distance from $A$ and $B$ both which is $= (3, 2)$
Mid point of $CD$ will lie at $5$ units distance from $C$ and $D$ both which is $= (-1, -4)$

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