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.
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.

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. The Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Transformation involves changing the position of a shape.

ΔHJK and ΔLMN are similar triangles; this means that the following sides are corresponding:

HJ and LM

HK and LN

JK and MN

The first translation would be to translate the corresponding sides K to N.

Then triangle HJK must be translated across a line that contains point K (i.e. either line JK or line HK)

By comparing the options, the true statement is:

(b) Translate K to N and reflect across the line containing JK.