1. The problem asks us to find the new coordinates of the vertices of a square after a translation 3 units to the right and 8 units down. 2. The original vertices are given as: - K(1, 2) - L(1, 10) - M(5, 10) - N(5, 2) 3. Translation rules for coordinates: - To move a point right by $a$ units, add $a$ to the x-coordinate. - To move a point down by $b$ units, subtract $b$ from the y-coordinate. 4. Applying the translation of 3 units right and 8 units down: - For K: $x' = 1 + 3 = 4$, $y' = 2 - 8 = -6$ - For L: $x' = 1 + 3 = 4$, $y' = 10 - 8 = 2$ - For M: $x' = 5 + 3 = 8$, $y' = 10 - 8 = 2$ - For N: $x' = 5 + 3 = 8$, $y' = 2 - 8 = -6$ 5. Therefore, the new coordinates after translation are: - K'(4, -6) - L'(4, 2) - M'(8, 2) - N'(8, -6)