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MrRoyalidn

The length of segment F'G' is 7 units

Length

The length of a line segment is the number of units on the line.

Coordinates

The coordinates are given as:

[tex]F = (-2,-4)[/tex]

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

Distance

Start by calculating the length of segment FG using the following distance formula

[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]FG = \sqrt{(-2- 5)^2 + (-4+ 4)^2}[/tex]

[tex]FG = \sqrt{49}[/tex]

[tex]FG = 7[/tex]

The transformation of segment FG to F'G' is a rigid transformation.

This means that:

The lengths of segments FG and F'G' are the same

So, we have:

[tex]F'G' = 7[/tex]

Hence, the length of segment F'G' is 7 units

Read more about length at:

https://brainly.com/question/17206319

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