Two points $A$ and $B$ are marked in the Cartesian plane below. Write down the coordinates of \(

Question

Two points $A$ and $B$ are marked in the Cartesian plane below. Write down the coordinates of $A$ and $B$. On the graph, plot and label clearly, the point $D\left( 1,-3 \right)$. Write down the coordinates of the point $C$ such that $ABCD$ is a parallelogram. Find the area of $ABCD$. Write down three possible coordinates of a point $E$ such that triangle $BDE$ and triangle $ABD$ have the same area.

Accepted Answer

(a) $A(-2,-3),B(0,2)$. (b) $D(1,-3)$ plotted. (c) $C(3,2)$. (d) $15\text{ units}^2$. (e) For example, $(4,-3),(-3,2),(3,2)$.

Coordinates and Parallelogram Properties on a Cartesian Plane

Coordinates and Parallelogram Properties on a Cartesian Plane

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