Respuesta :

Answer:

[tex]X' = (-4,-5)[/tex]

Step-by-step explanation:

Given

[tex]X = (4,-5)[/tex]

Reflection: Across y axis

Required

Determine X'

When a point (x,y) is reflected across the y axis, the image of the reflection is (-x,y)

So:

[tex]X = (4,-5)[/tex]

The image would be:

[tex]X' = (-4,-5)[/tex]

The y coordinate remains the same but the x is negated

Triangle XYZ is reflected across the y-axis, the new coordinate of X is X'(-4, -5).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is reflected across the y axis, the new point is A'(-x, y).

Triangle XYZ is reflected across the y-axis, the new coordinate of X is X'(-4, -5).

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