Reflection

First look the point 123/456 is reflected answer is 456

Q(456, 123) The x-coordinate of Q is 456. To see this just do a sketch of a point and the line y = x and you'll see that when you reflect the x and y coordinates are swapped.

When any point is reflected about the line y=x , the x-coordinate becomes the y-coordinate and vice versa.

In this example (123,456) would become (456,123) and the x-coordinate would be 456.

with reflextion line in coordinate (123,456)with become (456,123)

as it is symetirc evry point on reflection in line y=x just exchange the cordinate.

point P = (x, y). The y of point P is the x of the reflected point.

as y = x

so coordinates wil lbe invert to each other

The line y=x is the diagonal. Just swap the x and y values.

When any point reflect about the line y = x OR x = y , you can just swap the x coordinate and y coordinate of the original point to find the new point after reflection.

Since y=x, so the coordinates of Q would be (456,123). x= 456.

(456, 123)

P = (123,456) we know that if P(x,y) is reflection of y = x , we can write P'(y,x) where y as absis , x as ordinate so P'(456,123)

y=x is a line with slope 1 that goes through the origin. Simplify point P to (1.23, 4.56). Then reflect it across the line to get point (4.56, 1.23). Q=(456, 123), Therefore, x=456

if x=y, x-coordinate will be y-coordinate

Since this is a reflection over the line y = x, the point's x and y coordinates will be switched. Q is equal to (456, 123).

Just think about a segment of line from (123,123) to (123,456), and reflect it on x=y. You will see that the coordinate x becomes y and vice-versa.

x'=y=456

Let point A be (123, 456). Let the reflection A'. We know that the line y = x is the perpendicular bisector of segment AA'. We chose point C on line y = x such that angle ACA' is a right angle.This makes the coordinates for point C (456, 456). Since point A' is directly below point C the x coordinate of point A' is 456 .

change x ordinate of given point with its y cordinate to get the result!