Question
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.
, 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.
Answers
Answered by
GPT-4o mini
Since triangles \( \triangle JKL \) and \( \triangle NOP \) are congruent (denoted as \( \triangle JKL \cong \triangle NOP \)), we can conclude that all corresponding parts of these triangles are also congruent.
The corresponding parts can be stated as follows:
- \( \angle J \) corresponds to \( \angle O \)
- \( \angle K \) corresponds to \( \angle N \) (not included in your list)
- \( \angle L \) corresponds to \( \angle P \)
- \( JL \) corresponds to \( NO \)
- \( JK \) corresponds to \( OP \)
- \( KL \) corresponds to \( NP \) (not included in your list)
From the conclusions given:
- Conclusion #1: \( \angle J \cong \angle O \) is correct.
- Conclusion #2: \( \angle L \cong \angle P \) is also correct.
- Conclusion #3: \( LJ \cong PO \) is not correct because \( LJ \) corresponds to \( NO \).
- Conclusion #4: \( JK \cong OP \) is correct.
Therefore, at least Conclusions #1, #2, and #4 are correct.
So the final answer is:
**Conclusion #1** is correct.
The corresponding parts can be stated as follows:
- \( \angle J \) corresponds to \( \angle O \)
- \( \angle K \) corresponds to \( \angle N \) (not included in your list)
- \( \angle L \) corresponds to \( \angle P \)
- \( JL \) corresponds to \( NO \)
- \( JK \) corresponds to \( OP \)
- \( KL \) corresponds to \( NP \) (not included in your list)
From the conclusions given:
- Conclusion #1: \( \angle J \cong \angle O \) is correct.
- Conclusion #2: \( \angle L \cong \angle P \) is also correct.
- Conclusion #3: \( LJ \cong PO \) is not correct because \( LJ \) corresponds to \( NO \).
- Conclusion #4: \( JK \cong OP \) is correct.
Therefore, at least Conclusions #1, #2, and #4 are correct.
So the final answer is:
**Conclusion #1** is correct.