Question

△abc has vertices a(2,2), b(2,5), and c(4,2). name the coordinates of the image of point c after each transformation.

1. translate △abc along (-6,2).

c(□,□)

Explanation:

Step1: Translate x - coordinate

For a translation \((a,b)\), the rule for translating a point \((x,y)\) is \((x + a,y + b)\). Here \(a=-6\), \(x = 4\) (the x - coordinate of point \(C(4,2)\)). So the new x - coordinate is \(4+(-6)\).
\(4+(-6)=4 - 6=-2\)

Step2: Translate y - coordinate

Here \(b = 2\), \(y = 2\) (the y - coordinate of point \(C(4,2)\)). So the new y - coordinate is \(2 + 2\).
\(2+2 = 4\)

Answer:

\((-2,4)\)