Coordinate Geometry - Area of Rectilinear Figures
Coordinate Geometry - Area of Rectilinear Figures
TGM Original Questions
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 \((0, 2)\) and \((-6, 4)\) respectively. \(B\) lies on the \(x\)-axis and the line \(DC\) produced intersects with the \(x\)-axis at \(E\).
- Find the coordinates of \(B\).
- Explain if \(ABCD\) is a square.
- Find the coordinates of \(E\).
- Find the area of \(ABED\).
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Answer:(a) \((-4,0)\); (b) Yes, a square; (c) \((-14,0)\); (d) \(40\) units\(^2\).
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