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Which segment is a reflection of segment AB over the line x=1? X CD O EF O GA O IJ

Which Segment Is A Reflection Of Segment AB Over The Line X1 X CD O EF O GA O IJ class=

Sagot :

Since the line on which segment AB is reflected is x = 1 then the rule for this reflection will be

[tex](x,y)\rightarrow(-x+2\cdot1,y)=(-x+2,y)[/tex]

Then, the coordinates of the segment that is reflections of segment AB with respect to the line x = 1 will be

[tex]\begin{gathered} A(-4,3)\rightarrow(-(-4)+2,3)=(4+2,3)=(6,3) \\ B(-1,1)\rightarrow(-(-1)+2,1)=(1+2,1)=(3,1) \end{gathered}[/tex]

And the segment with these coordinates is EF

[tex]\begin{gathered} E(6,3) \\ F(3,1) \end{gathered}[/tex]

Therefore, the correct answer is b. EF.

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