Question

10
in the graph, what translation vector maps
triangle abc onto triangle a b c? * (10 points)
<10, -4>
<10,4>
<-10, -4>
<-10,4>

Explanation:

Step1: Calculate the change in x - coordinate

For point \(A(3,1)\) and \(A'(-7,-3)\), the change in \(x\) is \(-7 - 3=-10\). For point \(B(5,5)\) and \(B'(-5,1)\), the change in \(x\) is \(-5 - 5=-10\). For point \(C(8,-1)\) and \(C'(-2,-5)\), the change in \(x\) is \(-2 - 8=-10\).

Step2: Calculate the change in y - coordinate

For point \(A(3,1)\) and \(A'(-7,-3)\), the change in \(y\) is \(-3 - 1=-4\). For point \(B(5,5)\) and \(B'(-5,1)\), the change in \(y\) is \(1 - 5=-4\). For point \(C(8,-1)\) and \(C'(-2,-5)\), the change in \(y\) is \(-5-(-1)=-4\).

Answer:

\(\langle - 10,-4
angle\) (the third option \(\lt - 10,-4\gt\))