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QUESTION IMAGE

show the reflection of \\( \\triangle abc \\) across line \\( \\ell \\).

Question

show the reflection of \\( \triangle abc \\) across line \\( \ell \\).

Explanation:

Step1: Reflect each vertex

For each vertex \(A\), \(B\), \(C\) of \(\triangle ABC\), measure the perpendicular distance from the vertex to the line \(\ell\). Then, on the opposite side of the line \(\ell\), mark a point at the same perpendicular distance from the line \(\ell\) as the original vertex. Let the reflected vertices be \(A'\), \(B'\), \(C'\).

Step2: Connect the reflected vertices

Draw line - segments \(A'B'\), \(B'C'\), and \(C'A'\) to form the reflected triangle \(\triangle A'B'C'\).

Answer:

The reflected triangle \(\triangle A'B'C'\) is obtained by reflecting each vertex of \(\triangle ABC\) across the line \(\ell\) and then connecting the reflected vertices.