YES, if they have the same radius.
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When a circle is folded along its diameter, it creates two congruent halves or semicircles.
Polygon
Only if the congruent angle is the angle between the two congruent sides (SAS postulate).
Semi means half. So there are two semicircles in a circle.
The two angles are congruent. They are congruentangles. Congruent is basically 'same' in math. We often say congruent shapes, congruent, angles, and congruent sides.