Mathematics
The diagonals of a quadrilateral are equal and they bisect each other. The quadrilateral is definitely a :
rectangle
square
rhombus
parallelogram
Rectilinear Figures
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Answer
A rectangle is defined as a parallelogram with equal diagonals. If the diagonals of a quadrilateral bisect each other and are also equal, it must be a rectangle.
Hence, option 1 is the correct option.
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Rajbeer is a farmer. He has a plot of land in the shape of a quadrilateral ABCD as shown in the figure. In ABCD, AB ∥ CD and AD ∥ BC. He divided the field into two parts, viz, triangle BCE and trapezium CDAE by making an embankment CE such that CE = AD.
Based on the above information, answer the following questions :
1. ABCD is a :
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(b) Parallelogram
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(a) ∠D
(b) ∠B
(c) ∠C
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(b) ΔACE ≅ ΔAED
(c) ΔCEA ≅ ΔEAD
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(a) diagonal DB
(b) diagonal AC
(c) DC
(d) BC