Question

If Triangle J K L is congruent to Triangle B C A, which statement must be true?
Segment J K is congruent to Segment A B
Segment J K is congruent to Segment K L
Segment J L is congruent to Segment A B
Segment J L is congruent to Segment B C

Answer 1

Given that Triangle JKL is congruent to Triangle BCA, we can deduce that the corresponding sides and angles are congruent due to the properties of congruent triangles.

The corresponding sides of the triangles can be matched as follows:
- \( J \) corresponds to \( B \)
- \( K \) corresponds to \( C \)
- \( L \) corresponds to \( A \)

Thus, we have the following congruences:
- Segment \( JK \) is congruent to Segment \( BC \)
- Segment \( JL \) is congruent to Segment \( BA \)
- Segment \( KL \) is congruent to Segment \( AC \)

Now, to evaluate the given statements:

1. **Segment JK is congruent to Segment AB**: **False** (it should be congruent to Segment BC)
2. **Segment JK is congruent to Segment KL**: **False** (they are not corresponding sides)
3. **Segment JL is congruent to Segment AB**: **False** (it should be congruent to Segment BA)
4. **Segment JL is congruent to Segment BC**: **False** (it should be congruent to Segment BA)

None of the statements provided must be true based on the congruence relation provided.

However, if you are looking for a true statement based on congruencies:
- Segment \( JK \) should be congruent to Segment \( BC\)
- Segment \( JL \) should be congruent to Segment \( BA\)
- Segment \( KL \) should be congruent to Segment \( AC\)

So, if the intention was to look for corresponding sides' congruences and they weren't listed explicitly, please provide the options in terms of BC or AC so we can more accurately determine which congruences are true.