Line ab has a length of 5 cm. the line segment is dilated to produce line a'b', which has a length of 2 cm. find the scale factor of the dilation.

a. k = 2/5
b. k = 1/2
c. k = 5/2
d. k = 2

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Option A is correct

k = 2/5

Step-by-step explanation:

The rule of dilation with scale factor k is given by:

As per the statement:

Line AB has a length of 5 cm. The line segment is dilated to produce line A'B', which has a length of 2 cm.

⇒original Length (AB)= 5 cm

and

Image length (A'B') = 2 cm

Apply the rule of dilation we have;

Substitute the given values;

Therefore, the scale factor of the dilation is, 2/5

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