518,198 views
16 votes
16 votes
ABC reflected across the x-axis and then dilated by a factor of 12

ABC reflected across the x-axis and then dilated by a factor of 12-example-1
ABC reflected across the x-axis and then dilated by a factor of 12-example-1
ABC reflected across the x-axis and then dilated by a factor of 12-example-2
User Kostyantyn Ivanov
by
3.0k points

1 Answer

27 votes
27 votes

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)

ABC reflected across the x-axis and then dilated by a factor of 12-example-1
User Kungphil
by
2.9k points