Grade 9 - Coordinate-Geometry

(Sample Printed worksheet)

Answer The Following

1)Find the coordinates of the point shown in the picture.

2)If coordinates of the point shown in the picture are (p+55, p+20), find the value of p.

3)Which of the points A(0, 3), B(-1, 0), C(0, 15) and D(5, 0) lie on y axis.
4)Find the resultant shape obtained by connecting points (-4, 1) (-2, 4) (-6, 4) and (-8, 1).
5)Find the coordinate of point whose abscissa is 7 and which lies on x-axis.

Choose correct answer(s) from given choice

6)Two distinct __________ in a plane can not have more than one point in common.
a. Both lines and points b. Lines
c. Planes d. Points
7)Signs of the abscissa and ordinate of a point in the third quadrant are respectively
a. - , - b. + , +
c. +, - d. - , +
8)Find the distance of point (3, -5) from y-axis.
a. 0 b. 3
c. 5 d. 8
9)Point (-9, 5) lies in which quadrant?
a. Third quadrant b. First quadrant
c. Fourth quadrant d. Second quadrant

Fill in the blanks

10)Linda and George deposit some amount in joint back account such that total balance remains 3000. If amount deposited by Linda and George are plotted as linear graph on x-y plane, the area between this graph and coordinate axes = .

Answers

1) (-3 , 2.5)

2) -30
From observation we see that the point defined is (25,-10)
We are told that
25 = p + 55, and
-10 = p + 20
From either of these equations we can see that p = -30

3) A and C
A point lying on the X axis will have the abscissa as 0, and a point lying on the Y axis will have the ordinate as 0.
Looking at the points here, we see points A and C will therefore lies on the y axis

4) Parallelogram

5) (7,0)
The key to note is that the first value that represents a point is called the abscissa, and the second value is called the ordinate.
The second point to remember is that if a point lies on the x-axis, then the ordinate value is 0.
Here we are given the abscissa value, and told that the point lies on the x axis, so the answer is (7,0)

6) b. Lines
7) a. - , -
The key to solving such questions is to build a mental map of the quadrants.
When both abscissa and ordinate are positive values (x,y), then the point is in the first quadrant.
From there we go anticlockwise.
When abscissa is negative and ordinate is positive (-x,y), it is in quadrant two.
When both are negative (-x,-y), it is quadrant three.
When abscissa is positive and ordinate is negative, the point is in quadrant four

8) b. 3
The simplest way to solve it is to remember that the abscissa - the first value - is the position "on" the x axis, and the ordinate is the value "on" the y axis
What this means is that the first value is the distance away from the y axis, and the ordinate is the distance away from the x axis.
Also remember to remove the sign - the distance is always positive

9) d. Second quadrant
There is a very simple mental map for this.
You need to go in the anticlockwise direction for this.
If both the numbers are positive (i.e. in the form (x,y), then the point lies in the first quadrant.
If the first number is negative, and the second is positive (-x,y), it lies in the second quadrant.
If both numbers are negative (-x,-y), it lies in the 3rd quadrant.
If the first is positive and the second is negative (x,-y), it lies in the 4th quadrant.
Here the first number is negative, and the second is positive, so it lies in the Second quadrant

10)  
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