If the corresponding 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. Symmetric
d. Similar

a. Regular

a regular polygon has all sides equal, and all angles equal.

b. Congruent.
two polygons are congruent if the corresponding angles are congruent, AND corresponding sides congruent.

c. Symmetric
When A polygon is symmetric, half of it is a mirror image of the other half.

d. Similar
Similar polygons have corresponding angles congruent, but we don't know if the sides are congruent, or we know that they are not congruent.

Now start with response (a), reread the question to see if (a) regular polygon qualifies as an answer. Proceed with all the responses and see if you are left with one possible response.

If you still cannot get it, post me your reasoning for your possible response(s).

so it's congruent?

Strike one!

"There is nothing that says that the sides are equal, so they cannot be congruent."

I don't get it?

To determine the correct answer, you need to understand the concepts of congruence and similarity in polygons.

If the corresponding angles of two polygons are congruent, it means that the angles in the two polygons are equal when corresponding vertices are connected. This information alone does not determine whether the polygons are congruent or similar.

On the other hand, if the lengths of the corresponding sides of the polygons are proportional, it indicates a similarity relationship between the polygons. Similar polygons have corresponding angles that are congruent and corresponding sides that are in proportion.

Considering these facts, the correct answer is:

d. Similar.

The reason is that congruent polygons have both congruent corresponding angles and congruent corresponding sides. Since the statement specifies that only the corresponding angles are congruent, the polygons can't be proved to be congruent. However, with proportional corresponding sides, the polygons can be determined to be similar.

There is nothing that says that the sides are equal, so they cannot be congruent.

Congruence of polygons require angles AND sides to be congruent.

Nothing has been said about the sides being equal or symmetric either.

However, if the corresponding angles are congruent, the polygons should be .....