The three vertices of a rectangle are (3,2) , (-4,2) and (-4,5).Plot these points on graph paper and hence ,find the coordinates of fourth point. Also find the area of rectangle.l
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Step-by-step explanation:
The coordinates of the fourth vertex of the rectangle for given three vertices are (3, 5)
Finding the coordinates of the fourth vertex of rectangle using graph paper:
As the first step, plot the given three vertices of rectangle on graph sheet as A, B, C. We have to find the fourth vertex D.
From graph, AB = 7 cm and BC = 3 cm.
We know that, opposite sides of a rectangle are parallel and equal.
Therefore, AB = DC = 7 cm and BC = AD = 3 cm.
To find D, plot a point which is 3 cm above A and 7 cm to the left of C.
The point so obtained is (3, 5) which is the fourth vertex D of rectangle.
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