Question

complete the table to show the coordinates of the vertices of △abc.

Explanation:

Step1: Determine the translation rule

By observing the graph, we can see that the translation rule is \( (x + 4,y - 1) \).

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

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

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

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

Step4: Find the coordinates of \( C' \)

For point \( C(1,1) \), using the translation rule \( x=1 + 4=5 \), \( y = 1-1=0 \). So \( C'(5,0) \).

Answer:

\( \triangle ABC \)	\( \triangle A'B'C' \)
\( B(0,4) \)	\( B'(4,3) \)
\( C(1,1) \)	\( C'(5,0) \)