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Maths-

General

Easy

Question

What is the reflection of (3,4) in 4th quadrant.

(-3,-4)
(-3,4)
(3,-4)
(3,4)

hint Hint:

The reflection of a point in $1 s t$ quadrant in the $4 t h$ Quadrant is the reflection along the X-axis. The reflection of a point $left parenthesis X comma Y right parenthesis$ along the X-axis is $left parenthesis X comma negative Y right parenthesis$ .

The correct answer is: (3,-4)

In this question we have to find the reflection of point $left parenthesis 3 comma 4 right parenthesis$ in the fourth quadrant.
Step1: Locating the point.
Since, both the X and Y-Coordinate of the point are non negative. The point lies in the first quadrant.
Step2: Finding the reflection point in the $4 t h$ Quadrant.
The reflection of a point in $1 s t$ quadrant in the $4 t h$ Quadrant is the reflection along the X-axis. In the reflection along X-axis the X-Coordinate of the point remains the same and the Y-Coordinate becomes the additive inverse.
The reflection of a point $left parenthesis X comma Y right parenthesis$ along the X-axis is $left parenthesis X comma negative Y right parenthesis$ .
So, the reflection of the point $left parenthesis 3 comma 4 right parenthesis$ in the $4 t h$ Quadrant will be $left parenthesis 3 comma negative 4 right parenthesis$ .

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