Question

1. write a rule for the translation of \\( \triangle a b c \\) to \\( \triangle a ^ { prime } b ^ { prime } c ^ { prime } \\).

\\( ( x, y ) \
ightarrow ( x, y ) \\)

Explanation:

Step1: Determine the horizontal translation

Take a point, say \(A(-5,5)\) and \(A'(-2,2)\). The \(x -\)coordinate of \(A\) is \(-5\) and of \(A'\) is \(-2\). The change in \(x\) is \(-2-(-5)=3\).

Step2: Determine the vertical translation

The \(y -\)coordinate of \(A\) is \(5\) and of \(A'\) is \(2\). The change in \(y\) is \(2 - 5=-3\).

Answer:

\((x,y)\to(x + 3,y-3)\)