Plot the points (0 , 0), (0 , 2) and (2 , 2) on the graph and what will be the coordinates of fourth
vertices to be a square?
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Plot the points (0,2),(3,0),(0,−2) and (−3,0) on a graph paper. Join these points (in order). Name the figure so obtained and find the area of the figure obtained.
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Given points are (0,2),(3,0),(0,−2) and (−3,0).
The points are plotted in the graph below.
The quadrilateral obtained is a rhombus.
BD and AC are the diagonals of the rhombus.
Area of a rhombus =1/2×d
1
×d
2
Where d
1
and d
2
are the length of diagonals.
AC=4 units [from graph]
BD=6 units [from graph]
Area of rhombus ABCD=1/2×BD×AC
=1/2×6×4
=12sq.units.
Hence the area is 12sq.units.
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Step-by-step explanation:
Plot the three vertices of the rectangle as A(3, 2), B(– 4, 2), C(– 4, 5). We have to find the coordinates of the fourth vertex D so that ABCD is a rectangle. Since the opposite sides of a rectangle are equal, so the abscissa of D should be equal to abscissa of A, i.e., 3 and the ordinate of D should be equal to the ordinate of C, i.e., 5. Read more on Sarthaks.com - https://www.sarthaks.com/868113/three-vertices-rectangle-are-and-plot-these-points-and-find-the-coordinates-fourth-vertex.
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yup it is a square !!!!
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