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nekit [7.7K]
3 years ago
14

What is the rule for the reflection?

Mathematics
2 answers:
never [62]3 years ago
8 0

Answer:

A reflection is an example of a transformation that takes a shape (called the pre-image) and flips it across a line (called the line of reflection) to create a new shape (called the image).

The most common lines of reflection are the x-axis, the y-axis, or the lines y=x or y=−x.

The x-axis,


Reflection across the x-axis: T_{x-axis} (3,2)→(3,−2)


i.e. for reflection across the x-axis the x-coordinate remains same and y-coordinate change to negative sign.

The y-axis


Reflection across the y-axis: T_{y-axis} (3,2)→(-3,2)


i.e. for reflection across the y-axis the y-coordinate remains same and x-coordinate change to negative sign.

The line y=x


Reflection across the line y=x: T_{y=x} (3,2)→(2,3)


For reflection across y=x the x and y value get interchanged.

The line y=−x.


Reflection across the line y=−x: T_{y=-x} (3,2)→(−2,−3)


For reflection across y=-x the x and y value get interchanged with opposite signs.



Step2247 [10]3 years ago
4 0
<span>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)</span>
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