Since PQ = PS and RQ = RS, it implies that the sides PQ and RQ are equal in length and parallel to each other. This means that PQRS is a rectangle.
In a rectangle, the diagonals are always perpendicular to each other and bisect each other.
Therefore, the correct answer is (c) Its diagonals are perpendicular to each other.
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120 Mins English English20 Questions20 Marks15 Mins English English200 Questions200 Marks120 Mins EnglishA parallelogram is a quadrilateral in which:
The number of diagonals in a hexagon is :
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 54° and ∠BAC = 60°, then what is the measure of ∠ACD (in degree)?
ABCD is a trapezium in which BC || AD and AC = CD. If ∠ABC = 19° and ∠BAC = 137°, then what is the measure of ∠ACD (in degree)?
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and
Then is equal to:
If is the solution of the pair of equations: and
and then the value of is:
The number of real solutions of the equation x² − 3|x| + 2 = 0 is:
The interior angles of a polygon are in arithmetic progression. The smallest angle is 120° and the common difference is 5°. Find the number of sides of the polygon.
ABCD is a trapezium in which BC‖AD and AC=CD. If ∠ABC=40° and ∠BAC=120°, then what is the measure of ∠ACD (in degree)?
For a regular polygon, the sum of the interior angles is 250% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?
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