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Coordinate Geometry - 1 Class 9 Worksheet Maths

1. Fill in the blanks:
(i) The abscissa of the origin is ____.
(ii) The ordinate of the point (–5, 3) is ____.
(iii) The coordinates of origin are (____, ____).
(iv) The ordinate of every point on x-axis is ____.
(v) The abscissa of every point on y-axis is ____.
(vi) The axes intersect at a point called ____.

2. Look at the following figure and answer the questions given below.
Coordinate Geometry - 1 Class 9 Worksheet Maths
(i) What are the coordinates of B?
(ii) What are the coordinates of M?
(iii) What are the coordinates of L?
(iv) What are the coordinates of S?

3. Write the coordinates of the points marked on the axes in the following figure.
Coordinate Geometry - 1 Class 9 Worksheet Maths

4. Locate the following points in the Cartesian plane.
(i) (4, 0)
(ii) (0, 4)
(iii) (–3, 0)
(iv) (–3, 3)
(v) (5, –3)
(vi) (–3, 5)
(vii) (–5, 3)
(viii) (2, –7)
(ix) (–7, –7)

ANSWERS
1. (i) 0
(ii) 3
(iii) (0, 0)
(iv) 0
(v) 0
(vi) origin 

2. (i) (4, 3)
(ii) (–3, 4)
(iii) (–4, –4)
(iv) (3, –4) 

3. Coordinates of A are (4, 0); Coordinates of B are (0, 3)
Coordinates of C are (–5, 0); Coordinates of D are (0, –4)
Coordinates of E are (1, 0). 

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FAQs on Coordinate Geometry - 1 Class 9 Worksheet Maths

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using a coordinate system. It involves representing points, lines, and curves on a plane using numerical coordinates.
2. How is a coordinate system used in coordinate geometry?
Ans. A coordinate system consists of an ordered pair of numbers (x, y) that represent a point on a plane. The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position. By using this system, we can determine the location of any point on a plane.
3. What are the different quadrants in a coordinate system?
Ans. A coordinate system is divided into four quadrants, namely the first, second, third, and fourth quadrants. The first quadrant is located in the upper right, the second quadrant in the upper left, the third quadrant in the lower left, and the fourth quadrant in the lower right. The quadrants are used to determine the signs of the coordinates.
4. How do we calculate the distance between two points in coordinate geometry?
Ans. The distance between two points in coordinate geometry can be calculated using the distance formula. The formula is derived from the Pythagorean theorem and is given as √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
5. What is the slope of a line in coordinate geometry?
Ans. The slope of a line in coordinate geometry represents the measure of its steepness. It is defined as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between two points on the line. The slope can be calculated using the formula (y2 - y1)/(x2 - x1).
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