Advertisements
Advertisements
Question
In square ABCD; A = (3, 4), B = (-2, 4) and C = (-2, -1). By plotting these points on a graph paper, find the co-ordinates of vertex D. Also, find the area of the square.
Solution
Given that in square ABCD ; A(3,4), B(-2,4) and C(-2,-1)
After plotting the given points A(3,4), B(-2,4) and C(-2,-1) on a graph paper; joining B with C and B with A. From the graph it is clear that the vertical distance between the points B(-2,4) and C(-2,-1) is 5 units and the horizontal distance between the points B(-2,4) and A(3,4) is 5 units, therefore the vertical distance between the points A(3,4) and D must be 5 units and the horizontal distance between the points C(-2,-1) and D must be 5 units. Now complete the square ABCD
As is clear from the graph D(3,-1)
Now the area of the square ABCD is given by area of ABCD = (side)2 = (5)2 = 25 units
APPEARS IN
RELATED QUESTIONS
Plot the following points on the same graph paper:
(i) (8, 7)
(ii) (3, 6)
(iii) (0, 4)
(iv) (0, -4)
(v) (3, -2)
(vi) (-2, 5)
(vii) (-3, 0)
(viii) (5, 0)
(ix) (-4, -3)
By plotting the following points on the same graph paper. Check whether they are collinear or not:
(i) (3, 5), (1, 1) and (0, -1)
(ii) (-2, -1), (-1, -4) and (-4, 1)
State the axis on which the following points lie: J(0, -7), M(5, 0), P(-4, 0), R(0, 6) and W(2, 0)
Plot the points O (0, 0), P (6, 0) and R (0, 5) on a graph. Find the coordinates of the point Q such that OPQR is a rectangle.
Plot the points A (3, 4) and C (-3, -2) on a graph. Find the coordinates of the point B and D such ABCD is a square. Also find the area of the square.
Plot the points (-2, 3), (3, 3), (5, -2) and (-5, -2) on a graph and join them in order. Name the figure you get.
