Question

Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K.
How can a translation and a rotation be used to map ΔHJK to ΔLMN?

Translate H to L and rotate about H until HK lies on the line containing LM.
Translate K to M and rotate about K 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 H to N and rotate about H until HK lies on the line containing LN.

Answer 1

Translate H to L, then rotate about H (now at L) until segment HK lies on the line containing LM (so K lands on M). This translation + rotation carries ΔHJK to ΔLMN.