Question

Complete the congruence statement.

L
K
N
M
P
Q
R
S
73°
107°
73°
107°
73°
107°
73°
107°
43 yd
36 yd
43 yd
36 yd
43 yd
36 yd
43 yd
36 yd

LKNM ≅

Answer 1

To complete the congruence statement for the given shapes or figures, we need to find the appropriate corresponding figure.

Given the angles and the side lengths, we can determine that:

- Angles: L and N are both \(73^\circ\), while K and M are both \(107^\circ\).
- Side lengths: L and N have base lengths of 43 yd, while K and M have base lengths of 36 yd.

Assuming that the letters correspond to the vertices of a quadrilateral (for example, if this is a trapezoid or a kite), we can see that pairs of angles and sides can be corresponding based on congruence properties.

From the information given, we are looking for a figure that shares the same properties as LKNM.

Thus, if LKNM is congruent to a figure defined here, it could be congruent to the shape formed by the corresponding letters of the other figure (which we might denote as PQRS based on common naming conventions). Assuming both share similar properties, we could write:

**LKNM ≅ PQRS**.

This assumes that PQRS would have the same angles and corresponding sides. If PQRS is defined based on the information you provided, it would have the angles \(73^\circ\) and \(107^\circ\) for its respective angles and the same lengths for the sides.

In summary, if we know that the angles and the sides correspond and conform to the geometric congruence, we can write:
**LKNM ≅ PQRS** (where PQRS refers to the corresponding angles and sides forming the congruent figure).