Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant
Solution:
Given, the length and breadth of the rectangle are 5 and 3 units
One vertex at the origin.
The longer side lies on the x-axis
One of the vertices lies in the third quadrant
We have to find the coordinates of the vertices of the rectangle.
Given, one vertex O = (0, 0)
The origin is the point of intersection of both x and y axes
The longer side is the length and it lies on the x-axis
The length lies on the negative x-axis
Given, length = 5 units
Therefore, the vertices of the length A = (-5, 0)
Given, breadth = 3 units
The breadth lies in the negative y-axis.
Therefore, the vertices of the breadth C = (0, -3)
We know that the opposite sides of a rectangle are equal.
One of the vertices in the third quadrant implies the x-coordinate and y-coordinate are negative
The abscissa of the point A is equal to the abscissa of the point B
So, the abscissa of the point B = -5
The ordinate of the point C is equal to the ordinate of the point B
So, the ordinate of the point B = -3
Therefore, the coordinates of the point B are (-5, -3)
✦ Try This: The points A(2, 0), B(9, 1), C(11, 6) and D (4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3
NCERT Exemplar Class 9 Maths Exercise 3.4 Problem 2
Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant
Summary:
The coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant are O(0, 0), A(-5, 0), B(-5, -3) and C(0, -3)
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