Select all the sequences of reflections that produce an Image equivalent to the Image \( R _ {  ( 180^ { \circ } , O ) } ( \triangle B C D ) ? \)  a. reflection across the \( x - a x i \) followed by a reflection across \( y - a x i s \) b. reflection across the \( x - a x i \) followed by a reflection across \( y = x \) c. reflection across the \( y = - x \) followed by a reflection across \( y - a x i s \) d. refiection across the \( y - a x i \) followed by a reflection across \( x - a x i s \) e. reflection across the \( y = x \) followed by a reflection across \( x - a x i s\) 

Determine if the following lines are parallel, perpendicular, or neither \[ \begin{array}{l}y=\frac{8 x}{7}-1 \\ -x+3 y=1\end{array} \]

Find the perpendicular d \( x^{2}+y^{2}-8 x+2 y+8 \) Hence, find the shortest

5 Considera el vector \( \overrightarrow{\mathrm{u}}(3,-4) \). Calcula: a) Un vector paral. lel a \( \overrightarrow{\mathrm{u}} \) de mòdul 1 . b) Un vector perpendicular a \( \overrightarrow{\mathrm{u}} \) de mòdul 2 .

\begin{tabular}{l|l|}\hline \( \begin{array}{l}\text { Sample Response: Because vertical angles are } \\ \text { congruent, angles } 1 \text { and } 4 \text { are congruent. Because } \\ \text { corresponding angles are congruent, angles } 4 \text { and } 8 \text { are } \\ \begin{array}{l}\text { congruent. Because angle } 4 \text { is congruent to both } 1 \text { and } 8, \\ \text { angle } 1 \text { is congruent to angle } 8 .\end{array}\end{array} \) & \( \begin{array}{l}\text { What did you include in your response? Check all that } \\ \text { apply. } \\ \square \text { vertical angles theorem } \\ \square \text { corresponding angles theorem } \\ \square \text { transitive property }\end{array} \) \\ \( \square \) supplementary angles \\ \( \square \) linear pairs \end{tabular}

Find the equation of line perpendicular to \( 5 x-3 y+4=0 \) that passes through the point \( (-4,1) \).