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Areas of Parallelograms and Triangles — MATHS STD 9 — Question

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

Answer

  1. Need not be any of (A), (B) or (C).
Solution:
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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