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select △ghi≅△ by the congruent: not necessarily congruent

Question

select
△ghi≅△
by the
congruent:
not necessarily congruent

Explanation:

Step1: Identify corresponding sides

In \(\triangle GHI\) and \(\triangle JKL\), we need to check the side - side - side (SSS) congruence criterion.
For \(\triangle GHI\), let the sides be \(GH\), \(HI\), \(GI\). For \(\triangle JKL\), let the sides be \(JK\), \(KL\), \(JL\).
From the markings:

  • Assume the side with one mark: \(GI = KL\)
  • Assume the side with two marks: \(GH=JK\)
  • Assume the side with three marks: \(HI = JL\)

Step2: Apply SSS congruence

By the SSS (Side - Side - Side) congruence criterion, if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.
Since \(GI = KL\), \(GH = JK\), \(HI=JL\), we have \(\triangle GHI\cong\triangle JKL\) by SSS.

Answer:

\(\triangle GHI\cong\triangle JKL\) by SSS.