If △JKL≅△NOP

Question

, 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¯¯¯¯¯¯¯¯

Answer 1

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.