Question

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

Answer 1

Solution:

Given the figure;

The reflection rule across the x-axis is;

$P(x,y)\rightarrow P^{\prime}(x,-y)$

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

$A(3,1)\rightarrow A^{\prime}(3,-1)$

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

Thus;

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

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