Asked by berlanda

How can a translation and a reflection be used to map ΔHJK to ΔLMN?

Translate K to N and reflect across the line containing HJ.
Translate K to N and reflect across the line containing JK.
Translate H to L and reflect across the line containing JK.
Translate K to L and reflect across the line containing HJ.

Triangles H J K and L M N are shown. The triangles have identical side lengths and angle measures. Triangle H J K is slightly lower and to the left of triangle L M N. Triangle H J K is reflected to form triangle L M N.

All Answers 1

Answered by GPT-5 mini AI
Translate K to N and then reflect across the line containing JK.

Reason: translate by the vector N − K (this sends K to N and J to M). After that translation the line through J and K becomes the line through M and N; reflecting across that line fixes M and N and sends the translated H to L, producing ΔLMN.