Asha has drawn a quadrilateral PQRS in which vertices P,Q,R and S are (1,4), ( –5, 4),( –5, –3)and (1, –3) respectively. What type of quadrilateral is formed?
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Answer:
Rectangle
Step-by-step explanation:
We are given in quadrilateral PQRS
P = (1,4)
R = (-5,4)
P = (-5,-3)
P = (1,-3)
NOW using distance formula
PQ = √((1-(-5))² + (4-4)²) = √(6²) = 6 units
QR = √(((-5)-(-5))² + (4-(-3))²) = √(7²) = 7 units
RS = √(((-5)-1)² + (-3-(-3))²) = √(6²) = 6 units
SP = √((1-(1))² + (-3-4)²) = √(7²) = 7 units
This implies
Quadrilateral has two pair of equal sides
So
Quadrilateral is the rectangle
The graph of rectangle is given below.
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hey ...
which book question is this ???
plz reply fast....
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