Solutions to this question by accurate drawing will not be accepted. The diagram shows a rhombus \(A

Question

Solutions to this question by accurate drawing will not be accepted. The diagram shows a rhombus $ABCD$ with vertices $A$ and $C$ at the points $\left( 2,0 \right)$ and $\left( 4,6 \right)$respectively. $D$ lies on the $y$-axis and the line $CB$ produced intersects the $x$-axis at $E$. Show that the $y$-coordinate of $D$ is $4$. Explain why the rhombus $ABCD$ is also a square. Find the coordinates of $E$. Calculate the area of the quadrilateral $AECD$.

Accepted Answer

(a) $y_D=4$ (b) $ABCD$ is a square. (c) $E=(7,0)$ (d) $25\text{ units}^2$

Quadratic Functions, Equations and Inequalities - Quadratic Functions - General

Quadratic Functions, Equations and Inequalities - Quadratic Functions - General

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