# 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).

#### 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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