There is something wrong with this definition for a pair of vertical angles: “If AB and CD intersect at point P, then APC and BPD are a pair of vertical angles.” Sketch a counterexample to show why it is not correct. Can you add a phrase to correct it?

Question

There is something wrong with this definition for a pair of vertical angles: “If AB                 and CD intersect at point  P, then APC and BPD are a pair of  vertical angles.” Sketch a counterexample to show why it is not correct. Can you add a phrase to correct it?

Bob · Accepted Answer

I hate this

juan · Answer

There is something wrong with this definition for a pair of vertical angles: “If AB and CD intersect at point P, then APC and BPD are a pair of vertical angles.” Sketch a counterexample to show why it is not correct. Can you add a phrase to correct it?

Anonymous · Answer

glib

Anonymous · Answer

To make the statement correct...point P must be in between line segment AB and line segment CD in order for angle APC and angle BPD to be vertical angles...it's just wording...

Anonymous · Answer

Clarifying above answer...point P must be between A and B and also between C and D to make angle APC and BPD vertical angles.