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Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Respuesta :

MrRoyal

Dilation involves changing the size of a shape.

The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The given parameters are:

[tex]k =3[/tex] --- the scale factor

[tex]E = (-4,0)[/tex]

[tex]F =(0,2)[/tex]

Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.

[tex]E' = E \times k[/tex]

[tex]E' = (-4,0) \times 3[/tex]

[tex]E' = (-12,0)[/tex]

[tex]F' = F \times k[/tex]

[tex]F' = (0,2) \times 3[/tex]

[tex]F' = (0,6)[/tex]

Given that line g is represented by points E and F; line g' would be represented by points E' and F'

So, both lines would be parallel.

Hence, the true option is (d)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Step-by-step explanation:

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