I've been doing some problems on the topic Reflection.And struggling with it when I am doing it graphically. I have solved it using Reflection Matrix but graphically it is giving the wrong answer. Please enlighten me where I am wrong?
I solved it for the equation Y = X correctly like
I have to find the reflection of the point
(2,5)aboutY = X, whose answer will definitely be(5,2)HOW I DID IT.
First of All I find the corresponding point on the line
Y = x, which will be(5,5) and (2,2), and the corresponding reflected point will have the same value of x coordinate as (5,5) and same value of Y coordinate as (2,2) so the answer will be(5,2)which is correct.
I am attaching an image in my support
But when I solve it for equation 2Y = X + 1 it gives me wrong result
I have to find the reflection of the point
(3,-3)about2Y = X + 1, whose answer is (-1,5) but my answer is(7,2)HOW I DID IT.
First of All I find the corresponding point on the line
2Y = X + 1, which will be(3,2) and (-7,-3), and the corresponding reflected point will have the same value of x coordinate as (-7,-3) and same value of Y coordinate as (3,2) so the answer will be(-7,2)which is incorrect.
attached an image in my support
Please tell me where am I doing wrong?
Any other requirements or doubt in question? Please ask me in comments.