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.

Respuesta :

Answer:B

Step-by-step explanation:

Transformation involves changing the position of a shape.

To map ΔHJK to ΔLMN, we (b) Translate K to N and reflect across the line containing JK.

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 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.

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