If the corressponding angles of 2 polygons are congruent and the lengths of the corresponding sides of the polygons are proportional the polygons are..
a. Regular
b. Congruent
c. Symmetrix
d. Similar
"If the coressponding angles of 2 polygons are congruent"
then the two polygons are either congruent or similar.
If, in addition, the lengths of the sides are proportional (i.e. may or may not be congruent), then we cannot say that they are congruent, so they are similar.
d. Similar
To determine the type of polygons based on the given conditions, we need to understand the definitions of the terms mentioned.
1. Regular - A regular polygon is a polygon that has equal side lengths and equal angles.
2. Congruent - Two polygons are congruent if they have the same shape and size. In other words, their corresponding angles and corresponding side lengths are equal.
3. Symmetric - This term is not directly related to polygons. Symmetry refers to an object or shape having identical or similar parts, usually with a line or point of reflection. It does not describe the relationship between polygons.
4. Similar - Two polygons are similar if their corresponding angles are congruent, and the corresponding side lengths are in proportion to each other. Similar polygons have the same shape but may have different sizes.
Based on the explanation above, if the corresponding angles of two polygons are congruent and the lengths of the corresponding sides are proportional, the correct answer is:
d. Similar