Question

What is the rule if the reflection?

Answer 1

`r_(x-axis)(x,y)\to (x,-y)`

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

`r_(x-axis)(x,y)\to (x,-y)`

The third option is correct.

Answer 2

option c

`r_(x-axis)`->(x,-y)

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)