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Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'. What is the scale factor of the dilation?

Sagot :

MrRoyal

Answer:

The scale factor is 4

Step-by-step explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

[tex]FG = 2\ units[/tex]

[tex]F'G' = 8\ units[/tex]

The scale factor (k) is calculated as:

[tex]k = \frac{New}{Original}[/tex]

[tex]k = \frac{F'G'}{FG}[/tex]

[tex]k = \frac{8\ units}{2\ units}[/tex]

[tex]k = 4[/tex]

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