Mathematics
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.
Coordinate Geometry
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Answer
The points are shown on the graph below:
Steps of construction :
Plot the points A(0, 2), B(3, 0), C(0, -2) and D(-3,0) on graph.
Join AB, BC, CD and DA. ABCD is a rhombus.
Join BD and AC.
BD and AC are the diagonals of the rhombus.
Area of a rhombus = × d1 × d2
From graph,
1 block = 1 unit.
AC = 4 units
BD = 6 units.
Area of rhombus ABCD = × BD × AC
= × 6 × 4
= 12 sq. units.
Hence, figure obtained form graph is a rhombus with area = 12 sq. units.
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