Question

1. a, b, and f
2. b, c, and g

naming noncoplanar points name all the points that are not coplanar with the given points.

1. n, k, and l
2. s, p, and m
3. p, q, and n
4. r, s, and l
5. p, q, and r
6. r, k, and n
7. p, s, and k
8. q, k, and l

Explanation:

Step1: Recall coplanar - points concept

Coplanar points lie on the same plane. In a cube, we analyze planes formed by the given points.

Step2: Analyze 36. N, K, and L

Points N, K, L are on the left - hand face of the cube. Points not on this face are non - coplanar. Points Q, P, R, S, M are not coplanar with N, K, L.

Step3: Analyze 37. S, P, and M

Points S, P, M are on the bottom - front and right - hand faces. Points N, K, L, Q, R are not coplanar with S, P, M.

Step4: Analyze 38. P, Q, and N

Points P, Q, N are on the bottom, left - hand and front faces. Points K, L, M, R, S are not coplanar with P, Q, N.

Step5: Analyze 39. R, S, and L

Points R, S, L are on the bottom, right - hand and back faces. Points N, K, M, P, Q are not coplanar with R, S, L.

Step6: Analyze 40. P, Q, and R

Points P, Q, R are on the bottom face. Points K, L, M, N, S are not coplanar with P, Q, R.

Step7: Analyze 41. R, K, and N

Points R, K, N are on the left - hand and bottom faces. Points P, Q, S, L, M are not coplanar with R, K, N.

Step8: Analyze 42. P, S, and K

Points P, S, K are on the bottom, right - hand and left - hand faces. Points Q, R, L, M, N are not coplanar with P, S, K.

Step9: Analyze 43. Q, K, and L

Points Q, K, L are on the left - hand and back faces. Points P, R, S, M, N are not coplanar with Q, K, L.

Answer:

1. Q, P, R, S, M
2. N, K, L, Q, R
3. K, L, M, R, S
4. N, K, M, P, Q
5. K, L, M, N, S
6. P, Q, S, L, M
7. Q, R, L, M, N
8. P, R, S, M, N