MCQ
Three Statements are given below:
  1. In a, Parallelogram the angle bisectors of 2 adjacent angles enclose a right angle.
  2. The angle bisector of a Parallelogram form a Rectangle.
  3. The Triangle formed by joining the mid-points of the sides of an isosceles triangle is not necessarily an isosceles triangle.
    Which of the statement/ statements is/ are True?
  • A
    II
  • B
    I
  • C
    I and III
  • D
    I and II

Answer

  1. I and II
    Solution:
  1. The adjacent angles of a parallelogram are supplementary. Their halves add up to 90º. So the angle bisectors enclose a right angle.
  2. All the adjacent angle bisectors enclose right angles. So we have a rectangle being enclosed by the angle bisectors of a parallelogram.
  3. The triangle formed by joining the mid-points of the sides of an isosceles triangle is always an isosceles triangle, because halves of equal sides are also equal.

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