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Use the image to answer the question.

Triangle upper L upper A upper F and triangle upper N upper O upper W are next to each other. The sides of the triangles are labeled, and tick marks and arcs are used to show congruent sides and angles.

If ΔLAF≅ΔNOW, find the length of LF¯¯¯¯¯¯¯.

(1 point)
Responses

5
5

3
3

7
7

12
12
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1 answer

To find the length of \( LF \) given that \( \Delta LAF \cong \Delta NOW \), we need to use the information about the congruence of the triangles.

Since the two triangles are congruent, all corresponding sides are equal. This means:

  • \( LA \) corresponds to \( NO \)
  • \( AF \) corresponds to \( OW \)
  • \( LF \) corresponds to \( NW \)

If the length of \( NW \) (the corresponding side to \( LF \)) is known from the image, then \( LF \) must have the same length.

Please provide the length of the corresponding side \( NW \) from the information or image you have, so that we can determine the length of \( LF \). Without that information, we can't conclude the exact length.

Once the required side length is found, you'll be able to select the appropriate answer from the given options (5, 3, 7, 12).