Question

What is the reflection of the point (5,3) in the line x=-2?

Answer 1

soln,
Reflection through the x=-2=k
P (x,y)------------------P'(2k-x,y)
P (5,3)------------------P'{2×(-2)-5,3}
P (5,3)-------------------P'(-9,3)

Answer 2

Answer:

The reflection of the point (5,3) in the line x=-2 is (-9,3).

Step-by-step explanation:

If a point (x,y) reflected across that line x=a, then the relation between coordinates of actual point and image point is

$(x,y)\rightarrow(2a-x,y)$

The coordinates of given point are (5,3). The point reflected across the line x=-2. So the reflection is defined by the rule

$(5,3)\rightarrow(2(-2)-5,3)$

$(5,3)\rightarrow(-4-5,3)$

$(5,3)\rightarrow(-9,3)$

Therefore the reflection of the point (5,3) in the line x=-2 is (-9,3).