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
16 Likes
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.
Answered By
5 Likes
Related Questions
Three vertices of a square are A(2, 3), B (-3, 3) and C (-3, -2). Plot these points on a graph paper and hence use it to find the co-ordinates of the fourth vertex. Also find the area of the square.
Write the co-ordinates of the vertices of a rectangle which is 6 units long and 4 units wide if the rectangle is in the first quadrant, its longer side lies on the x-axis and one vertex is at the origin.
Plot the point P(-3, 4). Draw PM and PN perpendiculars to x-axis and y-axis respectively. State the co-ordinates of the points M and N.
Plot the points A(1, 2), B(-4, 2), C(-4, -1) and D (1, -1). What kind of quadrilateral is ABCD? Also find the area of the quadrilateral ABCD.