Question

transformations and congruence vertical & horizontal translations if square pqrs is translated 6 units up and 4 units to the left, what are the coordinates of point s? (1 point) (3, 8) (-2, 8) (0, 12) (1, 4)

Explanation:

Step1: Find original coordinates of S

From the graph, point \( S \) has coordinates \( (2, 2) \).

Step2: Apply horizontal translation (left 4 units)

For horizontal translation, subtract 4 from the \( x \)-coordinate: \( 2 - 4 = -2 \).

Step3: Apply vertical translation (up 6 units)

For vertical translation, add 6 to the \( y \)-coordinate: \( 2 + 6 = 8 \).

Step4: Determine new coordinates of \( S' \)

Combining the translations, the new coordinates of \( S' \) are \( (-2, 8) \).

Answer:

\( (-2, 8) \) (corresponding to the option: \(\boldsymbol{(-2, 8)}\))