NSTSE (National Science Talent Search Exam Unified Council) Class 8: Questions 1 of 2028
» Mathematics » Understanding Quadrilaterals
MCQ▾
Question
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.