Question

how can a translation and a rotation be used to map △hjk to △lmn? translate h to n and rotate about h until hk lies on the line containing ln. translate h to l and rotate about h until hk lies on the line containing lm. translate k to n and rotate about k until hk lies on the line containing ln. translate k to m and rotate about k until hk lies on the line containing lm.

Explanation:

To map △HJK to △LMN using translation and rotation, first translate a corresponding vertex to align, then rotate about that vertex to align sides. Assuming K corresponds to M, translating K to M aligns the vertex. Rotating about K (now at M) until side HK lies on LM completes the mapping.

Answer:

D. Translate K to M and rotate about K until $\overline{HK}$ lies on the line containing $\overline{LM}$.