Question

If all sides of a polygon are congruent the polygon is equilateral all sides of polygon a are 5 inches . Using the law of detachment, which conclusion can be made

Answer 1

Using the law of detachment, we conclude that Polygon A, with all sides measuring 5 inches, is an equilateral polygon because all of its sides are congruent.

Step-by-step explanation:

The question revolves around the characteristics of polygons and the application of the law of detachment.

The law of detachment is a principle in logic that states: if the following two statements are true: 'If p, then q' and 'p', then we can conclude 'q'. In this case, we have two statements:

1. If all sides of a polygon are congruent, then the polygon is equilateral.
2. All sides of Polygon A are 5 inches.

From the information provided, we can deduce that Polygon A has congruent sides. According to the law of detachment, if a polygon is equilateral, all its sides must be of equal length.

Hence, since all sides of Polygon A are congruent, we can conclude that Polygon A is an equilateral polygon.