Question

triangle abc is translated to image abc. in this translation, a(5, 1) maps to a(6, -2). the coordinates of b are (-1, 0). what are the coordinates of b? b( , )

Explanation:

Step1: Find the translation rule

The translation rule from \(A(5,1)\) to \(A'(6, - 2)\) is \((x,y)\to(x + 1,y-3)\).

Step2: Apply the translation rule to find \(B\)

Since \(B'\) has coordinates \((-1,0)\), let \(B=(x,y)\). Using the rule \(x+1=-1\) and \(y - 3=0\).
From \(x+1=-1\), we get \(x=-1 - 1=-2\).
From \(y - 3=0\), we get \(y=3\).

Answer:

\((-2,3)\)