Let's do this question, the image of point three, come on five, by the line of symmetry, why is
it X is the point, B, the image of point B by the line of symmetry, X is equal to zero is C, find
the coordinates of B and C already.
Pause the video, give it a try and then let's do it together.
All right.
Let's do it together.
We have the axis over here.
This is X and Y axis.
Now let me mark three comma five over here.
All right.
Now we need to find the reflection of this point about Y is equal to X right now.
This is the nine Y is equal to X right now.
Remember, if you need to find the reflection about why is equal to X, all you need to do is you need
to interchange to five, comma three is point B.
Now, we have identified point B over here.
Now it's mentioned that the image of point B by the line of symmetry X is equal to zero is C, so the
image of this point by the nine X is equal to zero, which is the Y axis is point C, right.
So let's find the image of this point about this line that would be minus five three.
Right.
So you keep the Y value the same.
So you have three over here, you have three over here, and you change the X value over here, you
have five over here you have minus five.
Right.
Therefore C is equal to minus five, comma three.
That is your answer.
Right.
You can note that if you find the perpendicular distance of this point from this line and if you find
the perpendicular distance of this point from this line, both will be equal.
Similarly, you will find that in this case, the distance over here see all and be or will also be
equal.
Therefore, B is five three and C is minus five, comma three.