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Areas of Parallelograms and Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsAreas of Parallelograms and Triangles1 Mark
MCQ
Write the correct answer of the following: $ABCD$ is a quadrilateral whose diagonal $AC$ divides it into two parts, equal in area, then $ABCD$:
  • A
    Is a rectangle.
  • B
    Is always a rhombus.
  • C
    Is a parallelogram.
  • ✓
    Need not be any of $(A), (B)$ or $(C)$.
✓

Answer

Correct option: D.
Need not be any of $(A), (B)$ or $(C)$.
Since diagonal of a parallelogram divides it into two triangles of equal area and rectangle and a rhombus are also parallelograms. It may be a $KITE$ as diagonal of a kite divides it into two triangles of equal areas. Then $ABCD$ need not be any of $(a), (b)$ or $(c)$.

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