1. If the abscissa of a point is (-6) and the cordinate is (3), in which quadrant will the point lie?
(1) First quadrant
(2) Second quadrant
(3) Third quadrant
(4) Fourth quadrant
EXPLANATION
In the Cartesian coordinate system:
- The abscissa (x-coordinate) represents the horizontal position of a point.
- The ordinate (y-coordinate) represents the vertical position of a point.
Given that the abscissa of the point is -6 and the ordinate is 3:
- The abscissa is negative (-6), indicating a position to the left of the origin.
- The ordinate is positive (3), indicating a position above the origin.
So, the point lies in the Second Quadrant.
Therefore, the correct answer is:
(2) Second quadrant
2. A square is plotted on a number graph with its vertices as (-2. 1). (1, 1), (1,-2) and (- 2, – 2) In which quadrant will its diagonals meet?
(1) First
(2) Second
(3) Third
(4) Fourth
EXPLANATION
To determine in which quadrant the diagonals of the square will meet, let’s find the midpoint of the diagonals.
The diagonals of a square bisect each other at their midpoints.
The diagonals of the square with vertices (-2, 1), (1, 1), (1, -2), and (-2, -2) are the line segments connecting opposite corners:
- Diagonal 1: (-2, 1) to (1, -2)
- Diagonal 2: (1, 1) to (-2, -2)
The midpoints of both diagonals are the same and lie in the Third Quadrant.
Therefore, the diagonals of the square will meet in the: (3) Third Quadrant
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