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
Solution:
Given, three vertices of a square ABCD are A(5, 3), B(-2, 3) and D(5, -4)
We have to plot the points on a graph paper and find the coordinates of the vertex C.
Considering the point A(5, 3)
The x-coordinate is positive and the y-coordinate is positive
Therefore, the point A lies on the first quadrant
Considering the point B(-2, 3)
The x-coordinate is negative and the y-coordinate is 3
Therefore, the point B lies on the second quadrant
Considering the point D(5, -4)
The x-coordinate is positive and the y-coordinate is negative
Therefore, the point D lies on the fourth quadrant
On plotting the point A, B and D on a graph paper,
We know that all the sides of a square are equal.
In the given square ABCD, the sides AB = BC = CD = AD
The abscissa of the point B is equal to the abscissa of the point C
So, the abscissa of the point C = -2
The ordinate of the point D is equal to the abscissa of the point C
So, the ordinate of the point C = -4
Therefore, the coordinates of the point C are (-2, -4)
✦ Try This: Show that the points A(1, 3), B(2, 6), C(5, 7) and D(4, 4) are the vertices of a rhombus.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3
NCERT Exemplar Class 9 Maths Exercise 3.4 Problem 1
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
Summary:
Points A (5, 3), B (- 2, 3) and D (5, -4) are three vertices of a square ABCD. on plotting these points on a graph paper, the coordinates of the vertex C are (-2, -4)
☛ Related Questions: