Advertisements
Advertisements
Question
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
Advertisements
Solution
The graph obtained by plotting the points A, B and C and D is given below.
Take a point C on the graph such that ABCD is a square i.e., all sides AB, BC, CD and AD are equal.
So, abscissa of C should be equal to abscissa of B i.e., – 2 and ordinate of C should be equal to ordinate of D i.e., – 4.
Hence, the coordinates of C are (– 2, – 4).
APPEARS IN
RELATED QUESTIONS
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
Plot the following point on the graph paper:
(7, 0)
On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?
Plot the following points on the one and the same co-ordinate system.
A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)
Write down the abscissa and ordinate of the following.
S
Find the quadrants without plotting the point on a graph sheet
(3, −4)
Plot the following point in a graph sheet.
F(2, 0)
Find the quadrants without plotting the point on a graph sheet
(−7, 2)
Find the quadrants without plotting the point on a graph sheet.
(−9, 50)
Plot the following points and check whether they are collinear or not:
(1, 1), (2, – 3), (– 1, – 2)
