Question

a triangle is translated 5 units right and 1 unit up. what are the new coordinates of the translated triangle? b ( type your answer... , type your answer... ) g ( type your answer... , type your answer... ) t ( type your answer... , type your answer... )

Explanation:

Step1: Identify original coordinates

Assume \(B=( - 4,2)\), \(G=( - 1,2)\), \(T=( - 1,0)\)

Step2: Apply translation rule

The translation rule is \((x,y)\to(x + 5,y+1)\)
For point \(B\): \(x=-4,y = 2\), new \(x=-4 + 5=1\), new \(y=2 + 1=3\), so \(B'=(1,3)\)
For point \(G\): \(x=-1,y = 2\), new \(x=-1+5 = 4\), new \(y=2 + 1=3\), so \(G'=(4,3)\)
For point \(T\): \(x=-1,y = 0\), new \(x=-1+5 = 4\), new \(y=0 + 1=1\), so \(T'=(4,1)\)

Answer:

B' (1,3)
G' (4,3)
T' (4,1)