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 a ( , ) 3 b ( , ) 4 c ( , ) 5 3. write the ordered pair for the translated point a. (6, 5)

Explanation:

Step1: Identify translation direction (right)

Translation 6 units right means adding 6 to the x - coordinate of the point. The original point \(A\) is \((0,0)\).

Step2: Apply translation to \(A\)

For a point \((x,y)\) translated \(h\) units right, the new point is \((x + h,y)\). Here, \(x=0\), \(h = 6\), \(y = 0\). So the new \(x\) - coordinate is \(0+6=6\), and the \(y\) - coordinate remains \(0\)? Wait, but the given answer is \((6,5)\). Wait, maybe there is a vertical translation too? Wait, the original problem says "6 units" maybe 6 units right and 5 units up? Let's re - evaluate. If we assume the translation is 6 units right and 5 units up. For point \(A(0,0)\), the new \(x\) - coordinate is \(0 + 6=6\), new \(y\) - coordinate is \(0+5 = 5\). So the translated point \(A'\) is \((6,5)\).

Answer:

\((6,5)\)