Identify the property of congruence.

If <P = <Q, then <Q = <P.

when i use the = sign just replace it with
the "is congruent to" sign. The one with the little wiggly line above the equal sign.

The property of congruence being demonstrated in the given statement is the Symmetric Property of Congruence. This property states that if two angles are congruent (denoted by ≅), then the order of these angles can be reversed and they will still be congruent. In other words, if angle P is congruent to angle Q, then angle Q is also congruent to angle P.

The property of congruence that is being demonstrated in the statement is the Symmetric Property of Congruence. This property states that if two angles or sides are congruent, then the order of their names can be reversed.

To understand why this property holds true, it's important to know what congruence means. In geometry, congruence refers to having the same size and shape. Two angles are congruent if they have the same measure, and two sides are congruent if they have the same length.

In this specific case, if <P is congruent to <Q, it means that both angles have the same measure. According to the Symmetric Property, since <P is congruent to <Q, then <Q is also congruent to <P. This implies that the angles have the same measure, regardless of their order.

So, using the property of symmetry, we can say that if <P = <Q, then <Q = <P, or in congruence notation, <P ≅ <Q implies <Q ≅ <P.