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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