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Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16. What is the scale factor of the dilation of line segment BA?

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MrRoyal

Answer:

Step-by-step explanation:

Given

See attachment for figure

[tex]CA = 4[/tex]

[tex]CA' = 16[/tex]

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

[tex]k = \frac{CA + CA'}{CA}[/tex]

So, we have:

[tex]k = \frac{4+16}{4}[/tex]

[tex]k = \frac{20}{4}[/tex]

[tex]k = 5[/tex]

Ver imagen MrRoyal

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