Thus, the equation of the line of reflection,
x=2 and x=4
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
It is given that,
A=(7,6)
A'=(-1,6),
B=(5,5)
and B'=(1,5),
As, the mid point of vertices of figure to the corresponding vertices of reflected figure should lie on reflected line.
Since, Δ ABC is reflected to Δ A'B'C' through this line,
Let, Q be the mid point of line AA', using section formula
Coordinate of Q = ((7-(-1))/2 , (6-6)/2 )
Q = (4,0)
and R be the mid point of line BB', using section formula
Coordinate of R = Q = ((5-1)/2 , (5-5)/2 )
Q = (2,0)
Q and R lies on the line of the reflection,
Thus, the equation of the line of reflection,
x=2 and x=4
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