Answered

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Line segmentAB has endpoints A(1, 4) and B(2, 8). A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯. The image has endpoints A′(1/8, 1/2) and B′(1/4, 1).What is the scale factor of the dilation?A. 1/8B. 1/2C. 2D. 8

Line SegmentAB Has Endpoints A1 4 And B2 8 A Dilation Centered At The Origin Is Applied To AB The Image Has Endpoints A18 12 And B14 1What Is The Scale Factor O class=

Sagot :

Given the following question:

The scale factor is multiplication, we are already given the before and after of the mutiplication all we have to do is find, what were the points multplied by to equal the last endpoints.

Using the process of elimination:

Option A:

[tex]\begin{gathered} 1\times\frac{1}{8}=\frac{1}{8} \\ 4\times\frac{1}{8}=\frac{1}{2} \\ 2\times\frac{1}{8}=\frac{1}{4} \\ 8\times\frac{1}{8}=1 \\ \text{Using cross mutiplication} \end{gathered}[/tex]

Your answer is option A.

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