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.

Question

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

(1 point)
Responses

5
5

7
7

12
12

3
3
Skip to navigation
page 17 of 17

Answer 1

Since you mentioned that triangles \( \Delta LAF \) and \( \Delta NOW \) are congruent (i.e., \( \Delta LAF \cong \Delta NOW \)), this means that corresponding sides of the triangles are equal in length.

To find the length of \( LF \), you need to look at which sides correspond to \( LF \) in the other triangle. The notation usually indicates that the sides correspond as follows based on their positions in the triangles:

• \( LAF \) corresponds to \( NOW \).
• \( LA \) corresponds to \( NO \),
• \( AF \) corresponds to \( OW \),
• \( LF \) corresponds to \( NW \).

If you have the lengths of the sides of triangle \( NOW \), look for the length that corresponds to \( LF \) (which is \( NW \)).

In your options, select the length of LF according to the length of the corresponding side \( NW \) in triangle \( NOW \).

Since I don’t have the lengths provided for sides, you would select the value that matches \( NW \) in \( \Delta NOW \). If you already know \( NW \)'s length, please provide it for an accurate answer to the length of \( LF \).