If the measures in degrees or radians are equal, the angles are congruent. The way the two angles are constructed is unimportant. The direction - the way the two angles sit on the printed page or screen - is unimportant. Here is a drawing that has several angles. Just as ∠ D O G and ∠ C A T, above, were congruent but were not “lined up” with each other, so too can congruent angles appear in any way on a page. Congruent Angles ExamplesĪngles can be oriented in any direction on a plane and still be congruent. Therefore every angle is congruent to itself. A line segment, angle, polygon, circle, or another figure of the given size and shape is self-congruent.Īngles have a measurable degree of openness, so they have specific shapes and sizes. ![]() The Reflexive Property of Congruence tells us that any geometric figure is congruent to itself. If you need the measure in radians, you will write 0.959931 r a d.
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