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Mathematics

Grade9

Easy

Question

If (a, b) is reflected in the y-axis, its image is the point _____.

(a, b)
(-a, b)
(a, -b)
(-a, -b)

hint Hint:

Reflect the given point using graph to obtain the efficient results.

The correct answer is: (-a, b)

* In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
It is a type of transformation that produces mirror image of the shape.
The reflection transformation can be done in many ways.
Reflection over X-axis
Reflection over Y-axis
Reflection over Y = X
Given That:
If (a, b) is reflected in the y-axis, its image is the point _____.
>>>let, the point (a, b) lies on the right side of the y-axis.
>>>Then, during the reflection of a point (a, b) the x-coordinate of a point a changes it's sign(a=-a) since it falls from right to left side of y-axis and similarly, the sign of the y-coordinate doesn't changes(b=b).
>>>Therefore, the reflection of the point (a, b) with respect to y-axis becomes (-a, b).

If (a, b) is reflected in the y-axis, its image is the point (-a, b)

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