Question

ryder drew \\(\overline{ng}\\) and translated it right 2 units and down 5 units to form \\(\overline{ng}\\). what is the distance, in units, from point \\(n\\) and point \\(g\\)? enter answer units

Explanation:

Step1: Recall translation property

Translation preserves distance, so \( \overline{NG} \) and \( \overline{N'G'} \) are congruent (same length).

Step2: Calculate length of \( \overline{NG} \)

From the graph, \( N \) is at \( (6, 6) \) and \( G \) is at \( (6, - 3) \). Since they have the same \( x \)-coordinate, the distance is the absolute difference of \( y \)-coordinates: \( |6 - (-3)| = |6 + 3| = 9 \).

Step3: Conclude distance for \( \overline{N'G'} \)

Since translation doesn't change length, \( N'G' = NG = 9 \).

Answer:

9