There is something wrong with this definition for a pair of vertical angles: "If line AB and line CD intersect at point P, then angle APC and angle BPD are a pair of vertical angles.
What is wrong??!?
3 answers
Well, the only thing I can see "lacking" in the definition is if the intersection P is actually also one of the A,B,C,D points. So you could just say ""If line AB and line CD intersect at point P such that P is different from A, B, C or D, then angle APC and angle BPD are a pair of vertical angles."
Point D and Point C could lie on the same end of the line so that both points are on one side of the intersection point (point P)
It doesn't say that the angles are congruent.