Question

look at the coordinates of the triangles. what do you notice? each ? of \\( \triangle a ^ { \prime } b ^ { \prime } c ^ { \prime } \\) is 3 ? the corresponding ? of \\( \triangle a b c \\).

Explanation:

Step1: Analyze the x - coordinates

For point \(A(-2,3)\) and \(A'(1,3)\), \(x_{A'}-x_{A}=1 - (-2)=3\). For point \(B(0,4)\) and \(B'(3,4)\), \(x_{B'}-x_{B}=3 - 0 = 3\). For point \(C(1,1)\) and \(C'(4,1)\), \(x_{C'}-x_{C}=4 - 1=3\). The y - coordinates remain the same (\(y_{A}=y_{A'}=3\), \(y_{B}=y_{B'}=4\), \(y_{C}=y_{C'}=1\)).

Answer:

Each vertex of \(\triangle A'B'C'\) is 3 units to the right of the corresponding vertex of \(\triangle ABC\).