In the figure, PINT is a rectangle. A right-angled triangle SIP is cut from the rectangle and pasted at the other end to form a quadrilateral SING. Which of the following is surely the quadrilateral SING?
A
Trapezium
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B
Rhombus
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C
Square
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D
Parallelogram
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Solution
The correct option is D Parallelogram Since PINT is a rectangle, the opposite sides are parallel and equal.
In the quadrilateral SING, IN∥SG and IN=SG IS∥NG and IS=NG
Two pairs of opposite sides are parallel and equal. Hence, SING is a parallelogram surely.