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Question 1: What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane?
Solution: The horizontal line is called the x-axis and the vertical line is called the y-axis.
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Question 2: What is the name of each part of the plane formed by these two lines?
Solution: Quadrants (I, II, III, and IV).
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Question 3: Write the name of the point where these two lines intersect.
Solution: Origin.
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Question 4: What is the abscissa and ordinate of the point (2, -5)?
Solution: Abscissa (x-coordinate) is 2, and Ordinate (y-coordinate) is -5.
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Question 5: In which quadrant do the points (-2, 4) and (3, -1) lie?
Solution: (-2, 4) lies in Quadrant II (x < 0, y > 0). (3, -1) lies in Quadrant IV (x > 0, y < 0).
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Question 6: What are the coordinates of the origin?
Solution: (0, 0).
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Question 7: If the y-coordinate of a point is zero, where does this point lie?
Solution: It lies on the x-axis.
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Question 8: The point at which the two coordinate axes meet is called the _______.
Solution: Origin.
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Question 9: The perpendicular distance of the point P(3, 4) from the y-axis is?
Solution: The perpendicular distance from the y-axis is the x-coordinate (abscissa). So, it is 3 units.
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Question 10: What are the signs of the coordinates of a point in the third quadrant?
Solution: Both x and y coordinates are negative (-, -).