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Geeta is given a quadrilateral's 4 sides and 1 angle (4 sides and angle A).
Is this data enough to construct a unique quadrilateral, and why?

Class 8Constructing QuadrilateralsGeometry
  • AYes, because it gives 5 measurements
  • BNo, because angles cannot be used
  • CYes, but only for a square
  • DNo, 5 sides are needed

Step-by-Step Solution

4 sides + 1 angle = 5 independent measurements, the exact number needed. The angle fixes a triangle, and arcs of the remaining sides fix the last vertex — so it is unique.
Answer: A) Yes, because it gives 5 measurements

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