Question

∠a≅∠c
reason:
reflexive property
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given
reflexive property
vertical angles are congruent
all right angles are congruent
an angle bisector divides an
angle into two congruent angles
parallel lines cut by a
transversal form congruent
alternate interior angles
parallel lines cut by a

Explanation:

The Reflexive Property of Congruence states that any geometric figure (including angles) is congruent to itself. So, for \(\angle A\) and \(\angle C\), if we are using the Reflexive Property as the reason for \(\angle A\cong\angle C\), it means that \(\angle A\) and \(\angle C\) are the same angle (perhaps mis - labeled in a diagram, but in terms of the property, an angle is congruent to itself).

Answer:

The reason for \(\angle A\cong\angle C\) being the Reflexive Property is based on the fact that the Reflexive Property of Congruence (for angles) says \(\angle X\cong\angle X\) for any angle \(X\). So if \(\angle A\) and \(\angle C\) are the same angle (by mis - labeling or in a self - referential geometric context), \(\angle A\cong\angle C\) by the Reflexive Property.