It can have two congruent sides but does not have to.
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Yes - divide the hexagon by drawing a line connecting two opposite sides, dividing it in half. (Drawing a line connecting two angles will only result in two congruent quadrilaterals).
A regular hexagon.
No congruent sides is a scalene, two congruent sides is an isosceles triangle, three is an equilateral.
always
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.