The image of the point (1, 5) when reflected in a line
LM is (9, 5). Write down the equation of the line
LM.

(ICSE)

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Solution

as the y cordinate of the object and image are same this means that the line joining the point and its image is parallel to the axis.so this means that the mirror line will be parallel to the y axis.because the line joining the point and its image is always perpendicular to the mirror and vice versa.
The mid point between the point and its image will be in the mirror.
by mid point formula the mid point will be((1+9)/2,(5+5)/2)=(5,5)
now we know that the line is parallel to the y axis and also it passes through (5,5)
so its equation is x=5

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The image of the point (1, 5) when reflected in a line LM is (9, 5). Write down the equation of the line LM. (ICSE)

The image of the point (1, 5) when reflected in a line
LM is (9, 5). Write down the equation of the line
LM.

(ICSE)