Question

If Quadrilateral J K L M is congruent to quadrilateral C B D A, which pair of sides must be congruent?
Segment J K and Segment A B
Segment J K and Segment C B
Segment J M and Segment A D
Segment J M and Segment B C

Answer 1

If quadrilateral J K L M is congruent to quadrilateral C B D A, it means that their corresponding sides and angles are equal.

In a congruence, the order of the letters matters. Therefore, we can match the vertices as follows:

- J corresponds to C
- K corresponds to B
- L corresponds to D
- M corresponds to A

From this correspondence, we can determine which pairs of sides are congruent:

- Segment JK (from J to K) must be congruent to Segment CB (from C to B).
- Segment KL (from K to L) must be congruent to Segment BA (from B to A).
- Segment LM (from L to M) must be congruent to Segment AD (from D to C).
- Segment MJ (from M to J) must be congruent to Segment DC (from D to A).

Based on the options provided, the correct congruent side pair would be:

**Segment J K and Segment C B**.