Question

describe the translation that maps \\( \triangle def \\) onto \\( \triangle jkl \\).
translate \\( \triangle def \\) units
to form \\( \triangle jkl \\).

Explanation:

Step1: Find the horizontal movement

Take a vertex, say \(D(-3,4)\) and \(J(-1,4)\). The \(x -\)coordinate changes from \(-3\) to \(-1\). Using the formula \(x_{new}-x_{old}\), we have \(-1-(-3)=2\).

Step2: Check for other vertices

For \(E(-3, - 4)\) and \(K(-1,-4)\), \(x_{new}-x_{old}=-1 - (-3)=2\). For \(F(1,-2)\) (assuming coordinates from the graph structure), if we consider the translation rule for \(x\) - direction (since \(y\) - coordinates of corresponding vertices \(D\) and \(J\), \(E\) and \(K\) are the same), the translation is horizontal.

Answer:

Translate \(\triangle DEF\) \(2\) units to the right to form \(\triangle JKL\).