If by "equal" you mean "equal in length", yes, that is the same as "congruent".
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False
False but they are both 4 sided quadrilaterals
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
FALSE
Yes this is true by the identity of indiscernibles also known as Liebniz's Law.