Yes
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What the word congruent and circle have in common is that circles have a congruent radii. All of the radii in a single circle is congruent to each other.
Yes. All radii of the same circle have the same length.
Yes, providing that the radii are all in the same circle
Yes. That is obvious from the definition of a circle (or one possible definition): the set of all points in a plane that are at the same distance from a given point (the center of the circle).
all the angles measure up to be the sameTwo segments that are both congruent to a third segment must be congruent to each otherAll of the radii of a circle are congruent