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ABCD is a parallelogram. The bisectors of all four angles are drawn and they enclose a quadrilateral in the middle.
What is the special name of this enclosed quadrilateral?

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • AA rectangle
  • BA rhombus
  • CA square always
  • DA general parallelogram

Step-by-Step Solution

The angle bisectors of a parallelogram intersect to form a quadrilateral whose every angle is 90 deg (since pairs of bisectors meet at right angles), making it a rectangle.
Answer: A) A rectangle

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Two adjacent angles of a parallelogram are always:Which of the following is NOT necessarily true for every parallelogram?If one angle of a parallelogram is a right angle, then the parallelogram is a:If the diagonals of a parallelogram are equal, the parallelogram must be a:A quadrilateral is a parallelogram if one pair of opposite sides is: