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Answer:
let's connect the points from A to S and then back to A, making sure not to use any curved lines. Here are 10 combinations of congruent line segments:
1. A-B, B-C, C-D, D-E, E-F, F-G, G-H, H-I, I-J, J-A
2. A-K, K-L, L-M, M-N, N-O, O-P, P-Q, Q-R, R-S, S-A
3. A-S, S-R, R-Q, Q-P, P-O, O-N, N-M, M-L, L-K, K-A
4. A-B, B-G, G-L, L-Q, Q-A
5. A-E, E-I, I-M, M-Q, Q-A
6. A-D, D-H, H-L, L-P, P-A
7. A-C, C-F, F-J, J-N, N-A
8. A-B, B-D, D-F, F-H, H-J, J-L, L-N, N-P, P-R, R-A
9. A-K, K-M, M-O, O-Q, Q-S, S-A
10. A-S, S-P, P-M, M-J, J-G, G-D, D-A
These 10 combinations of line segments are all congruent, meaning they have the same length. Remember, we are avoiding any curved lines and only using straight line segments to connect the points from A to S and back to A.
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