Question

Choose ALL answers that describe the polygon L, M, N, OLMNO if L, M, equals, M, N, equals, N, O, equals, O, LLM=MN=NO=OL and angle, L, \cong, angle, M, \cong, angle, N, \cong, angle, O∠L≅∠M≅∠N≅∠O.

Answer 1

The polygon LMNO, with equal side lengths and congruent angles, is an equilateral and equiangular figure, which defines it as a square.

Step-by-step explanation:

The question pertains to the characteristics of polygon L, M, N, O (LMNO). Given that LM = MN = NO = OL and ∠L ≅ ∠M ≅ ∠N ≅ ∠O, we can deduce certain properties of this polygon. To begin with, the equal lengths of the sides suggest that the polygon is equilateral, meaning all sides have the same length. Similarly, the fact that all angles are congruent indicates that the polygon is equiangular, having equal angles. Together, these properties define a square, which is a type of regular polygon. A square has four equal sides and angles, making it both equilateral and equiangular, and each interior angle measures 90 degrees. Therefore, LMNO, with its described properties, fits the definition of a square.