If △JKL≅△NOP , what conclusion can be drawn about their corresponding parts? Conclusion #1: ∠J≅∠O Conclusion #2: ∠L≅∠P Conclusion #3: LJ¯¯¯¯¯¯¯≅PO¯¯¯¯¯¯¯¯ Conclusion #4: JK¯¯¯¯¯¯¯¯≅OP¯¯¯¯¯¯¯¯ (1 point) Conclusion # is correct.

1 answer

If \(\triangle JKL \cong \triangle NOP\), then all corresponding angles and sides are congruent. This means that:

  1. \(\angle J \cong \angle O\) (Conclusion #1)
  2. \(\angle L \cong \angle P\) (Conclusion #2)
  3. \(LJ \cong PO\) (Conclusion #3)
  4. \(JK \cong OP\) (Conclusion #4)

Since all conclusions follow from the property of congruence (that is, corresponding parts of congruent triangles are congruent), all conclusions are correct.

So to answer the question: all four conclusions (#1, #2, #3, and #4) are valid based on the congruence of the triangles. If you need one conclusion to pick, you can choose any one of them, but typically we refer to all corresponding parts as being congruent.