draw a quadrilateral with vertices a(2 2) b(2 -2) c(-2 -2) d(-2 2). classify the quadrilateral and also find its area
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Given : a quadrilateral with vertices a(2 2) b(2 -2) c(-2 -2) d(-2 2).
To find : Classify quadrilateral and also find its area
Solution:
a(2 2) b(2 -2) c(-2 -2) d(-2 2)
Slope of AB = -4/0
Slope of BC = 0/-4 = 0
Slope of CD = 4/0
Slope of AD = 0/4 = 0
BC || AD
AB || CD
AB ⊥ BC
AB = 4
BC = 4
CD = 4
AD = 4
all sides are equal at right angle to each other
Hence ABCD is a square of side 4
Area = 4 * 4 = 16 sq units
Quadrilateral = SQUARE
Area = 16 sq units
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