A point and its reflection across the origin (i.e. (x, y) - (-x, -y)) are given. If the original point (-2, 7) is in the second quadrant, in which quadrant is its image after reflection through the origin?

Question

A point and its reflection across the origin (i.e. (x, y) -> (-x, -y)) are given. If the original point (-2, 7) is in the second quadrant, in which quadrant is its image after reflection through the origin?

Accepted Answer

Fourth. Reflection through the origin maps (-2, 7) to (2, -7). Signs (+, -) place the image in the fourth quadrant.

A point and its reflection across the origin (i.e $. (x, y) - > (- x, - y)$ ) are given.
If the original point (-2, 7) is in the second quadrant, in which quadrant is its image after reflection through the origin?

Step-by-Step Solution

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More Class 9 The Cartesian Plane practice

A point and its reflection across the origin (i.e.(x,y)−>(−x,−y)) are given.If the original point (-2, 7) is in the second quadrant, in which quadrant is its image after reflection through the origin?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Cartesian Plane practice

A point and its reflection across the origin (i.e $. (x, y) - > (- x, - y)$ ) are given.
If the original point (-2, 7) is in the second quadrant, in which quadrant is its image after reflection through the origin?