when are two polygons congruent?

Answer 1

when they are the same size and lengths

Answer 2

Two polygons are congruent if you can take one of them and fit it exactly onto the other.

Answer 3

Two polygons are conguent if and only if

There exists an ordering of sides s_1,...s_n and t_1,...t_n such that (s_i and s_i+1 are adjecent , s_n is adjecant to s_1)

1: All corresponding sides s_i and t_i from shape s and t respectivly have common ratio.

2. All corresponding interior angles between adjecant sides As_1,...As_n are equal to At_1,...,At_n

(As_1 is the angle on shape s between s_1 and s_2 and so on then back from s_n to s_1 is As_n)

NOTE in triangles you only need 1 because there is only one such unique shape arrivign from a different permutation.

Answer 4

when they are identical in size and shape