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complete the congruence statement for the pair of congruent triangles i…

Question

complete the congruence statement for the pair of congruent triangles in the diagram below. triangle jki is congruent what triangle? enter the letters only.

Explanation:

Step1: Identify corresponding angles and sides

In congruent triangles, corresponding angles and sides are equal. By observing the markings (angle markings and side - length markings), we match the vertices.

  • Angle \(I\) corresponds to angle \(S\) (marked with one arc).
  • Angle \(K\) corresponds to angle \(R\) (marked with one arc).
  • Angle \(J\) corresponds to angle \(T\) (un - marked angles in their respective triangles).
  • The sides between the corresponding angles also correspond.

Step2: Write the congruence statement

When writing the congruence statement for triangles \(\triangle JKI\) and \(\triangle TSR\), we match the vertices in order. So \(\triangle JKI\cong\triangle TSR\)

Answer:

\(\triangle TSR\)