Question

translate the triangle. then enter the new coordinates. a(?,) b (,) c (,)

Explanation:

Step1: Understand the translation rule

The translation vector is \(\langle - 1,5
angle\). This means we subtract \(1\) from the \(x -\)coordinate and add \(5\) to the \(y -\)coordinate of each point.
For a point \((x,y)\), the new point \((x',y')\) after translation is given by \(x'=x - 1\) and \(y'=y + 5\).

Step2: Translate point \(A\)

For point \(A(2,-3)\), \(x = 2\) and \(y=-3\).
\(x'=2-1=1\)
\(y'=-3 + 5=2\)
So \(A'(1,2)\)

Step3: Translate point \(B\)

For point \(B(4,-5)\), \(x = 4\) and \(y=-5\).
\(x'=4-1=3\)
\(y'=-5 + 5=0\)
So \(B'(3,0)\)

Step4: Translate point \(C\)

For point \(C(-2,-6)\), \(x=-2\) and \(y =-6\).
\(x'=-2-1=-3\)
\(y'=-6 + 5=-1\)
So \(C'(-3,-1)\)

Answer:

\(A'(1,2)\), \(B'(3,0)\), \(C'(-3,-1)\)