Question

△abc has vertices a(0,0), b(5,-2), and c(-3,6). find the vertices of abc after the following translation: 6 units right and 5... a (_, _) 3 b (_, _) 4 c (_, _) 5 5. write the ordered pair for the translated point c. type a response

Explanation:

Step1: Recall translation rule

To translate a point \((x, y)\) \(h\) units right and \(k\) units up, the new coordinates are \((x + h, y + k)\). Here, \(h = 6\) (right) and assume \(k = 5\) (since the left side has a 5, maybe up 5? Wait, the left says "6 units right and 5" maybe 5 units up? So for point \(C(-3, 6)\), we apply \(x\)-coordinate: \(-3 + 6\), \(y\)-coordinate: \(6 + 5\).

Step2: Calculate \(x\)-coordinate of \(C'\)

\(x\)-coordinate: \(-3 + 6 = 3\)

Step3: Calculate \(y\)-coordinate of \(C'\)

\(y\)-coordinate: \(6 + 5 = 11\)

Answer:

\((3, 11)\)