If angle A is congruent to angle B, then angle B is congruent to angle A.If X is congruent to Y then Y is congruent to X.
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The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.
It is commutative: If x is not equal to y then y is not equal to x. It is not reflexive, not transitive.
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
In two dimensions, the equations of rotation about the origin are: x' = x cos t - y sin t y' = x sin t + y cos t. where t is the angle of rotation, counterclockwise.
Triangle ABC is congruent to triangle XYZ if AB=XY, BC=YZ, and CA=ZX. Also angle A=angle X, angle B=angle Y, and angle C= angle Z.