NSTSE (National Science Talent Search Exam- Unified Council) Class 8: Questions 1 of 2028

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Question

MCQ▾

In a quadrilateral ABCD, the diagonals AC and BD are equal but not perpendicular to each other. Then PQRS is a:

Choices

Choice (4) Response
a. Parallelogram
b. Square
c. Rectangle
d. Trapezium

Answer

c.

Explanation

  • As given, in a quadrilateral ABCD, the diagonals AC and BD are equal but not perpendicular to each other.
  • As we know, a square and rectangle have equal diagonals.
  • However, the square has the diagonals that make right angles by bisecting each other, but the rectangle does not make right angles by bisecting.
  • That means a rectangle has equal diagonals but not intersect at right angles, as it has two pair of equal opposite parallel sides.