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Find the Image of the Point A(5,3) Under Reflection in the Point P(-1,3). - Mathematics

Sum

Find the image of the point A(5,3) under reflection in the point P(-1,3).

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Solution

Let the image be `B (x,y).`

Since A is reflected in P,P is the mid-point of AB

Using mid-point formula, we get

`⇒ P(-1,3)=((x+5)/2,(y-3)/2)`

`⇒ (x+5)/2=-1 and (y-3)/2=3` 

`⇒ x+5=-2 and y-3=6`

`⇒ x=-7 and y=9`

So, the image of A in P is `B (-7,9)`

Concept: Co-ordinates Expressed as (x,y)
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