Question

Can somebody help me as soon as possible

Answer 1

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:

$F = (-2,-4)$

$G = (5,-4)$

Distance

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

$FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$FG = \sqrt{(-2- 5)^2 + (-4+ 4)^2}$

$FG = \sqrt{49}$

$FG = 7$

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:

$F'G' = 7$

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

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