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True or false are equal segments are always congruent?

If by "equal" you mean "equal in length", yes, that is the same as "congruent".


You can build two triangles that have the same side lengths but are not congruent.?

No, triangles with the same side lengths are always congruent.


If the corresponding side lengths of two triangles are congruent the corresponding angles are also congruent.?

False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.


True or false Equal angles are always congruent?

true


If two triangles have three pairs of congruent angles then the triangles are guaranteed to be congruent true or false?

False, because they could be similar triangles having the same angles but proportionally different side lengths


A regular polygon will have equal side lengths but may not have equal angles?

false


Will a regular polygon have equal side lengths but may not have equal angles?

false


The length of the mid-segment of a trapezoid is equal to the sum of the lengths of the bases. true or false?

False.


Is it true or false that a convex polygon that has more than four sides and that has congruent interior angles is a regular polygon?

True. A convex polygon with more than four sides that has congruent interior angles must also have congruent sides, making it a regular polygon. Regular polygons are defined by having both equal angles and equal side lengths. Therefore, if a convex polygon has congruent interior angles, it is necessarily regular.


True or false two triangles that have the same side lengths will always be congruent?

True, only if all the sides are the same length.


Are the Radii of congruent circles are equal True or false?

True providing that they have the same diameters


True or false Similar polygons have congruent sides and congruent angles?

False. The angles will be congruent, but the sides not so.