Question

triangle abc with vertices a(0, 7), b(0, 3), and c(1, 4). (x, y)→(x +?,?) find the new vertices given the translation properties. a(_,_) b(_,_) c(_,_)

Explanation:

Step1: Recall translation rule

The translation rule is \((x,y)\to(x + 3,y)\).

Step2: Find \(A'\)

For point \(A(0,7)\), substitute \(x = 0,y=7\) into the rule: \(x'=0 + 3=3,y'=7\), so \(A'(3,7)\).

Step3: Find \(B'\)

For point \(B(0,3)\), substitute \(x = 0,y = 3\) into the rule: \(x'=0+3 = 3,y'=3\), so \(B'(3,3)\).

Step4: Find \(C'\)

For point \(C(1,4)\), substitute \(x = 1,y = 4\) into the rule: \(x'=1 + 3=4,y'=4\), so \(C'(4,4)\).

Answer:

\(A'(3,7)\)
\(B'(3,3)\)
\(C'(4,4)\)