Is it always?sometimes?never?that All polygons with congruent in sides are similar
All polygons with congruent sides are not always similar. While it is true that polygons with congruent sides can be similar in some cases, it is not a universal rule. For polygons to be considered similar, they must have congruent angles as well. So, if two polygons have both congruent angles and congruent sides, then they are similar. However, having congruent sides alone does not guarantee similarity.
No, it is not always true that all polygons with congruent sides are similar. Sometimes they can be similar, but there can be cases where they are not similar.
To determine if two polygons are similar, the following conditions must be met:
1. The corresponding angles between the polygons are congruent.
2. The corresponding sides of the polygons are proportional in length.
If all the sides of two polygons are congruent, it means their corresponding sides satisfy the second condition for similarity. However, it does not guarantee that the corresponding angles are congruent. Two polygons can have equal sides without having equal angles.
For example, consider a square and a rectangle. Both have congruent sides, but they are not similar because their angles are different. Therefore, it is not always true that all polygons with congruent sides are similar.
If they are congruent in corresponding sides, the polygon is congruent, not similar.
If the polygon is congruent is angles, it is similar.