Question

1. The vertices of triangle STU are S(1, 2), T(5, -2), and U(1, -4). Find the coordinates T’’ of the image of triangle STU after a composition of the transformations in this order: Translation: (x,y) --> (x-1, y+4) Reflection: in the y-axis.

2. The vertices of triangle STU are S(1, 2), T(5, -2), and U(1, -4). Find the coordinates S’’ of the image of triangle STU after a composition of the transformations in this order: Translation: (x,y) --> (x-3, y-1) Reflection: 90° about the origin.

Answer 1

\[
\begin{align}
1.~~~~P(x, y) \rightarrow P'(x-1,y+4) &\rightarrow P''(-(x-1),y+4) \\
S(1,2) \rightarrow S'(0,6) &\rightarrow S''(0,6) \\
T(5,-2) \rightarrow T'(4,2) &\rightarrow T''(-4,2) \\
U(1,-4) \rightarrow U'(0,0) &\rightarrow U''(0,0)
\end{align}\]

Answer 2

\[
\begin{align}
2.~~~~P(x, y) \rightarrow P'(x-3,y-1) &\rightarrow P''(-(y-1),x-3) \\
S(1,2) \rightarrow S'(-2,1) &\rightarrow S''(-1,-2) \\
T(5,-2) \rightarrow T'(2,-3) &\rightarrow T''(3,2) \\
U(1,-4) \rightarrow U'(-2,-5) &\rightarrow U''(5,-2)
\end{align}\]

Answer 3

Thank you so very much, you've been SOOOO helpful! =)

Answer 4

Glad I could help :)