Respuesta :

ardni313

The rule for the reflection

rx-axis (x, y) → (x, –y)

ry-axis (x, y) → (–x, y)

Further explanation

A reflection is an example of a transformation

Reflection is the process of mirroring each point on the geometry of a certain line.

The original figure is called the pre-image and the final figure is called the image

The image will be congruent with the pre image and the distance of the image to the mirror axis is the same as the distance of the pre image to the mirror axis

There are several reflection equations:

  • The equation of reflection across the x-axis

x '= x

y '= - y

can be written

[tex]\large{\boxed{\bold{r_{x-axis}A(x,y)\rightarrow A'(x,-y)}}[/tex]

  • The equation of reflection across the y-axis

x '= x

y '= -y

can be written

[tex]\large{\boxed{\bold{r_{y-axis}A(x,y)\rightarrow A'(x,-y)}}[/tex]

  • The reflection equation across the line y = -x

x '= - y

y '= - x

can be written

[tex]\large{\boxed{\bold{r_{y=-x}A(x,y)\rightarrow A'(-y,-x)}}[/tex]

  • The reflection equation across the line x = h

x '= 2h-x

y '= y

can be written

[tex]\large{\boxed{\bold{r_{x=h}A(x,y)\rightarrow A'(2h-x,y)}}[/tex]

  • The reflection equation across the line y = k

x '= x

y '= 2k-y

can be written

[tex]\large{\boxed{\bold{r_{y=k}A(x,y)\rightarrow A'(x,2k-y)}}[/tex]

So the correct rule for reflection is:

rx-axis (x, y) → (x, –y)

ry-axis (x, y) → (–x, y)

Learn more

the rule for the reflection

https://brainly.com/question/4210177

https://brainly.com/question/10929277

https://brainly.com/question/12537916

https://brainly.com/question/2151134

Keywords : reflection, y-axis

Ver imagen ardni313

Answer:

the answer is A BTW

Step-by-step explanation:

Otras preguntas