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 answer

If \( \triangle JKL \cong \triangle NOP \), then by the property of congruent triangles, we can conclude that all corresponding angles and sides of the triangles are congruent. This means:

  • Conclusion #1: \( \angle J \cong \angle O \) is true, as \( \angle J \) corresponds to \( \angle O \).
  • Conclusion #2: \( \angle L \cong \angle P \) is true, as \( \angle L \) corresponds to \( \angle P \).
  • Conclusion #3: \( \overline{LJ} \cong \overline{PO} \) is true, as \( \overline{LJ} \) corresponds to \( \overline{PO} \).
  • Conclusion #4: \( \overline{JK} \cong \overline{OP} \) is true, as \( \overline{JK} \) corresponds to \( \overline{OP} \).

Thus, all four conclusions can be drawn as they correctly reflect the property of corresponding parts of congruent triangles being congruent.