Reflections in math: a reflection has a special meaning. How to reflect an object...

Very often reflecions are performed using coordinate notation as they all are on this page. The coordinates allow us to easily describe the image and its preimage.

Reflection in the x-axis.

A reflection in the x-axis can be seen in the picture below in which A is reflected to its image A'. The general rule for a reflection in the x-axis: (A,B) (A, −B)

Reflection in the y-axis.

A reflection in the y-axis can be seen in the picture below in which A is reflected to its image A'. The general rule for a reflection in the y-axis: (A,B) (−A, B)

Reflection in the line y = x.

A reflection in the line y = x can be seen in the picture below in which A is reflected to its image A'. The general rule for a reflection in the y-axis: (A, B) (B, A)

problem 1) What is the image of point A(1,2) after reflecting it across the x-axis . In technical speak, pefrom the following transformation r(_x-axis) ?

Answer

Problem 2) What is the image of point A (31,1) after reflecting it across the x-axis . In technical speak, pefrom the following transformation r(_y-axis) ?

Answer

problem 3) What is the image of point A(-2,,1) after reflecting it across the the line y = x . In technical speak, pefrom the following transformation r(_y=x) ?

Answer

Reflections : How to reflect a point

Reflect point across x axis, y axis and other lines.

Reflection in the x-axis.

Reflection in the y-axis.

Reflection in the line y = x.