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galina1969 [7]
2 years ago
14

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. T

he length of A A prime is 16. What is the scale factor of the dilation of line segment BA?
Mathematics
1 answer:
saw5 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Given

See attachment for figure

CA = 4

CA' = 16

Required

The scale factor (k)

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

k = \frac{CA + CA'}{CA}

So, we have:

k = \frac{4+16}{4}

k = \frac{20}{4}

k = 5

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