Solutions to this question by accurate drawing will not be accepted. Given three of the vertices of

Question

Solutions to this question by accurate drawing will not be accepted. Given three of the vertices of a parallelogram $ABCD$ are $A(-3,-7)$, $B(1,4)$, $C(10,3)$. Find the distance between points $A$ and $B$, correct to $3$ significant figures, the midpoint of the diagonal $AC$, the coordinates of the fourth vertex $D$, the equation of the line $CD$, the area of the parallelogram $ABCD$.

Accepted Answer

(a) $11.7$ (to $3$ s.f.) (b) $ \left( \frac{7}{2}, -2 \right)$ (c) $D = (6,-8)$ (d) $y = \frac{11}{4}x - \frac{49}{2}$ (e) $103$ unit$^2$

Coordinate Geometry - Length of a Line Segment

Coordinate Geometry - Length of a Line Segment

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