Question

question 9.
triangle abc has vertices at a(6,4), b(2,6) and c(4,-2). the triangle is transformed using the rule (x,y)-(x - 3,y + 2) to create δabc.
plot triangle abc on the grid using the segment tool.
segment undo redo reset

Explanation:

Step1: Find the coordinates of \(A'\)

For point \(A(6,4)\), using the rule \((x,y)\to(x - 3,y + 2)\)
\(x'=6-3 = 3\), \(y'=4 + 2=6\). So \(A'(3,6)\)

Step2: Find the coordinates of \(B'\)

For point \(B(2,6)\), using the rule \((x,y)\to(x - 3,y + 2)\)
\(x'=2-3=-1\), \(y'=6 + 2 = 8\). So \(B'(-1,8)\)

Step3: Find the coordinates of \(C'\)

For point \(C(4,-2)\), using the rule \((x,y)\to(x - 3,y + 2)\)
\(x'=4-3 = 1\), \(y'=-2+2 = 0\). So \(C'(1,0)\)

Answer:

Plot the points \(A'(3,6)\), \(B'(-1,8)\) and \(C'(1,0)\) on the grid and connect them using the segment tool.