Sum

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

Advertisement Remove all ads

#### 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)

Is there an error in this question or solution?

Advertisement Remove all ads

#### APPEARS IN

Advertisement Remove all ads

Advertisement Remove all ads