Respuesta :

ShyzaSling

Answer:

option c

[tex]r_{x-axis}[/tex]->(x,-y)

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed), So we can see from the graph that,

point M(-5,4) is reflected to m'(-5,-4)

similarly,

point N(-2,3) is reflected to N'(-2,-3)

point L(-4,2) is reflected to L'(-4,-2)

kudzordzifrancis

ANSWER

[tex]r_{x-axis}(x,y)\to (x,-y)[/tex]

EXPLANATION

The coordinates of the vertices of the preimage triangle are

L(-4,2), M(-5,4) and N(-2,3).

The coordinates of the vertices of the image triangle are

L'(-4,-2), M'(-5,-4) and N'(-2,-3).

We can see that the y-intercept coordinates of the triangle LMN were negated to obtain, the vertices of triangle

L'M'N'

This is a reflection in the x-axis.

The rule for the reflection is

[tex]r_{x-axis}(x,y)\to (x,-y)[/tex]

The third option is correct.

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