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AreaAreas of Parallelograms and Triangles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSAreaAreas of Parallelograms and Triangles1 Mark
Question
ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD is:
  1. A rectangle
  2. a ||gm
  3. A rhombus
  4. All of these
✓

Answer

  1. All of these
Solution:
The diagonals of a parallelogram divide the parallelogram into two triangles with equal areas.
Since a rectangle and a rhombus is a ||gm, ABCD could be a rectangle, or ||gm or a rhombus.

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