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The mirror image of point (-4, -2) about x-axis will lie in :
- a)I st quadrant
- b)II nd quadrant
- c)III rd quadrant
- d)IV th quadrant
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The mirror image of point (-4, -2) about x-axis will lie in :a)I st qu...
Point A is the reflected point.
Point A will have coordinates, as, abscissa will not change and ordinate will change sign
∴ Reflected point will lie in 2nd quadrant.
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The mirror image of point (-4, -2) about x-axis will lie in :a)I st qu...
Explanation:
Reflection about x-axis:
- When a point is reflected about the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
- For a point (-4, -2), when reflected about the x-axis, the y-coordinate changes sign to become positive. Therefore, the mirror image will have coordinates (-4, 2).
Quadrants:
- In the Cartesian coordinate system, the quadrants are numbered counter-clockwise starting from the top right quadrant as the first quadrant.
- The second quadrant is to the left of the first quadrant, above the x-axis, and below the y-axis.
- The point (-4, 2) lies in the second quadrant since the x-coordinate is negative (-4) and the y-coordinate is positive (2).
Therefore, the mirror image of the point (-4, -2) about the x-axis will lie in the II nd quadrant.
Reflection about x-axis:
- When a point is reflected about the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
- For a point (-4, -2), when reflected about the x-axis, the y-coordinate changes sign to become positive. Therefore, the mirror image will have coordinates (-4, 2).
Quadrants:
- In the Cartesian coordinate system, the quadrants are numbered counter-clockwise starting from the top right quadrant as the first quadrant.
- The second quadrant is to the left of the first quadrant, above the x-axis, and below the y-axis.
- The point (-4, 2) lies in the second quadrant since the x-coordinate is negative (-4) and the y-coordinate is positive (2).
Therefore, the mirror image of the point (-4, -2) about the x-axis will lie in the II nd quadrant.
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The mirror image of point (-4, -2) about x-axis will lie in :a)I st quadrantb)II nd quadrantc)III rd quadrantd)IV th quadrantCorrect answer is option 'B'. Can you explain this answer?
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