Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Define the Cartesian plane. A
Perfect! The Cartesian plane is formed by the intersection of horizontal and vertical axes.
(2) Name the horizontal and vertical lines in the Cartesian system.
Horizontal line:
Vertical line:
Excellent! The x-axis is horizontal and y-axis is vertical.
(3) What is the point of intersection of the x-axis and y-axis called?
Correct! The origin is where both axes meet.
(4) Write the coordinates of the origin.
Great! The origin has coordinates (0, 0).
(5) Write the coordinates of a point lying on the x-axis.
Perfect! Points on x-axis have y-coordinate = 0.
Short Answer Questions (2 Marks Each)
Note: Answer each question with proper graph plotting and clear identification. Write down the answers on sheet and submit to the school subject teacher.
(1) Write the coordinates of a point lying on the y-axis at a distance of 5 units above the origin.
Coordinates:
Excellent! On y-axis, x-coordinate is 0, and 5 units above means y = 5.
(2) In which quadrant does the point (-3, 4) lie?
Quadrant:
Perfect! Since x < 0 and y > 0, the point lies in the second quadrant.
(3) Write the coordinates of a point that lies in the third quadrant.
Example coordinates:
Great! In third quadrant, both x < 0 and y < 0.
(4) Write the coordinates of a point on the y-axis and another on the x-axis.
Point on y-axis:
Point on x-axis:
Excellent! Remember: y-axis has x = 0, x-axis has y = 0.
(5) Identify the quadrant of each point: (a) (2, -5) (b) (-3, -1) (c) (0, 4) (d) (5, 0)
(a) (2, -5):
(b) (-3, -1):
(c) (0, 4):
(d) (5, 0):
Perfect! You understand quadrant identification completely.
Long Answer Questions (4 Marks Each)
Note: Answer each question with proper graph plotting and clear identification. Write down the answers on sheet and submit to the school subject teacher.
(1) Draw a Cartesian plane and plot the points A(2, 3), B(-2, 3), C(-2, -3), and D(2, -3). Identify the figure formed by joining them in order.
Point A(2, 3): Quadrant
Point B(-2, 3): Quadrant
Point C(-2, -3): Quadrant
Point D(2, -3): Quadrant
Figure formed:
Excellent! The points form a rectangle with sides parallel to the axes.
(2) Plot the points P(4, 0), Q(0, 3), R(-4, 0), and S(0, -3) on a graph paper. Join them in order and name the figure.
Point P(4, 0): On
Point Q(0, 3): On
Point R(-4, 0): On
Point S(0, -3): On
Figure formed:
Great! The points form a diamond shape centered at origin.
(3) Draw a graph to plot A(1, 1), B(1, 4), C(4, 4), and D(4, 1). Write the name of the figure formed.
All points lie in:
Side lengths: AB =
Figure formed:
Perfect! All sides are equal, forming a square.
(4) Draw the x-axis and y-axis on a graph paper and mark points P(3, 2), Q(-3, 2), R(-3, -2), and S(3, -2). Join them in order and name the shape formed.
Length PQ:
Length QR:
Shape formed:
Excellent! The figure is a rectangle with length 6 and width 4.
(5) On a graph paper, plot M(0, 0), N(0, 5), O(5, 5), and P(5, 0). Name the quadrilateral formed.
Point M:
All angles:
Quadrilateral formed:
Perfect! The vertices form a square of side length 5 units.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) The coordinates of the origin are:
(a) (0, 1) (b) (1, 0) (c) (0, 0) (d) (1, 1)
Correct! The origin is at the intersection of axes: (0, 0).
(2) In which quadrant does the point (-2, -5) lie?
(a) First (b) Second (c) Third (d) Fourth
Correct! Both coordinates are negative, so it's in the third quadrant.
(3) The coordinates of a point on the x-axis are always of the form:
(a) (0, y) (b) (x, 0) (c) (x, y) (d) (0, 0)
Correct! Points on x-axis have y-coordinate = 0, so (x, 0).
(4) Which axis is horizontal in the Cartesian plane?
(a) x-axis (b) y-axis (c) Both (d) None
Correct! The x-axis is horizontal, y-axis is vertical.
(5) The coordinates of a point on the y-axis are always of the form:
(a) (x, 0) (b) (0, y) (c) (y, 0) (d) (0, 0)
Correct! Points on y-axis have x-coordinate = 0, so (0, y).
(6) The coordinates (3, -4) lie in:
(a) First quadrant (b) Second quadrant (c) Third quadrant (d) Fourth quadrant
Correct! x > 0 and y < 0, so it's in the fourth quadrant.
(7) The intersection of the x-axis and y-axis is called:
(a) Quadrant (b) Origin (c) Axis (d) Coordinate
Correct! The intersection point is called the origin.
(8) The point (0, 5) lies:
(a) On the x-axis (b) On the y-axis (c) In the first quadrant (d) In the second quadrant
Correct! Since x = 0, the point lies on the y-axis.
(9) Which of the following represents a point in the second quadrant?
(a) (2, 3) (b) (-2, 3) (c) (2, -3) (d) (-2, -3)
Correct! Second quadrant has x < 0 and y > 0.
(10) A point in the third quadrant has:
(a) x > 0, y > 0 (b) x < 0, y > 0 (c) x < 0, y < 0 (d) x > 0, y < 0
Correct! Third quadrant has both coordinates negative.
Let's practice identifying quadrants!!!
Excellent! You've mastered quadrant identification.
True or False: Coordinate Properties
Determine whether these statements are True or False: