Coordinate Geometry Class 9 Worksheet with Answers
VERY SHORT
ANSWER TYPE QUESTIONS
Q.1 If y-coordinate of a point is zero, then where will this point
lie in the coordinate plane?
Q.2 In which quadrant(s), abscissa of a point is negative?
Q.3 Find the point whose ordinate is -3 and which lies on y-axis.
Q.4 The point in which abscissa and ordinate have different signs
will lie in which quadrant(s)?
Q.5 Find the perpendicular distance of the point P (5, 7) from the
y-axis.
SHORT ANSWER TYPE QUESTIONS
Q.6 Write the coordinates of a point on x-axis at a distance of 6
units from the origin in the positive direction of x-axis and then justify your
answer.
Q.7 If the coordinates of two points are P (-2, 3) and Q (-3, 5),
then find (abscissa of P) – (abscissa of Q).
Q.8 Without plotting the points indicate the quadrant in which
they will lie, if
ii. Abscissa is 5 and ordinate is -6
Q.9 Plot the points A (5, 5) and B (-5, 5) in Cartesian plane.
Join AB, OA and OB. Name the type of triangle so obtained.
Q.10 Find the coordinates of the point
ii. whose abscissa is 5 and lies
on x-axis.
iii. whose ordinate is -4 and lies on y-axis.
LONG ANSWER TYPE QUESTIONS
Q.11 Plot the points A (2, 0), B (5, 0) and C (5, 3). Find the
coordinate of the point D such that ABCD is a square.
Q.12 Plot the points P (-2, 1), Q (2, 1), R (3, 2) and S (-1, 2) and write the name of the figure thus obtained.
Q.13 Plot the points (-3, 0), (5, 0), (0, 4) on Cartesian plane. Name the figure formed by joining these points and find its area.
Q.14 Draw the quadrilateral with vertices (-4, 4), (-6, 0), (-4,
-4), (-2, 0). Name the type of quadrilateral and find its area.
Q.15 Write the coordinates of the vertices of a rectangle whose
length and breadth are 6 and 3 units respectively, one vertex at the origin,
the longer side lies on the y-axis and one of the vertices lies in the second
quadrant.
Q.16 From the given figure, write
a) the coordinates of the points B
and F.
b) the point identified by the
coordinates (1, 1)
c) the abscissa of the points D
and H.
d) the ordinates of the points A
and C.
e) the quadrant in which points B
and I lie.
f) the perpendicular distance of
the point G from the x-axis.
g) the perpendicular distance of
the point I from the y-axis.
h) the point whose perpendicular distance from y-axis is 2 units.
ANSWERS
1. on the x- axis
2. II and III quadrants
3. (0, -3)
4. II and IV quadrants
5. 5
6. (6, 0)
7. 1
8. i) III quadrant ii) IV quadrant
9. An isosceles triangle
10. i) (0, 0) ii) (5, 0) iii) (0, -4)
11. Coordinates of point D (2, 3)
12. Parallelogram
13. Triangle, 16 square units
14. Rhombus, 16 square units
15. (0, 0), (0, 6), (-3, 6), (-3, 0)
16. a) B (-5, -4), F (6, 0)
b) D c) D-1, H-0 d) A-1,
C-0
e) III quadrant f) 4
units g) 2 units h) C and I
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