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which triangle is similar to \\( \\triangle jkl \\)? \\( \\bigcirc \\tr…

Question

which triangle is similar to \\( \triangle jkl \\)?
\\( \bigcirc \triangle jkm \\)
\\( \bigcirc \triangle mkl \\)
\\( \bigcirc \triangle kml \\)
\\( \bigcirc \triangle ljk \\)

Explanation:

Step1: Recall the AA (Angle - Angle) similarity criterion

If two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
In \(\triangle JKL\) and \(\triangle MKL\):

  • \(\angle JKL=\angle MKL\) (common angle)
  • \(\angle KML = \angle KJL\) (both are right angles)

Answer:

\(\triangle MKL\)