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ABC reflected across the x-axis and then dilated by a factor of 12

ABC Reflected Across The Xaxis And Then Dilated By A Factor Of 12 class=
ABC Reflected Across The Xaxis And Then Dilated By A Factor Of 12 class=

Sagot :

Solution:

Given the figure;

The reflection rule across the x-axis is;

[tex]P(x,y)\rightarrow P^{\prime}(x,-y)[/tex]

Thus, the point A(3,1) after reflection is;

[tex]A(3,1)\rightarrow A^{\prime}(3,-1)[/tex]

Then, dilated by a factor of 2 using the point (-2,1) as the center of dilation.

Thus;

[tex]\begin{gathered} A^{\prime}(3,-1) \\ (-2,1) \\ \\ A^{\prime}(5,-2) \\ \\ A^{\prime}(5,-2)\rightarrow2(5,-2)\rightarrow(10,-4) \\ \\ A^“(10,-4) \\ (-2,1) \\ \\ A^“(8,-3) \\ \\ \end{gathered}[/tex]

CORRECT OPTION: (B) A"(8,-3)

View image BraxstonV596912
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