In a Geometry proof, what can be determined from an intersection?
In a proof, I was given Line Segment AB and Line Segment CD intersect at E.
What can be determined from this statement?
I don’t know how to use this in my proof.
- ?Lv 76 years agoFavorite Answer
Your 2 line segments AB and CD intersect at point E.
This gives you 4 angles ∡AEC, ∡BED, ∡AED, and ∡BEC which can be viewed as 2 pairs of congruent vertical angles
∡AEC ≅ ∡BED (Angle AEC is congruent to angle BED
∡AED ≅ ∡BEC
This also gives you 4 pairs of supplementary angles
∡AEC + ∡BEC = 180°
∡BEC + ∡BED = 180°
∡BED + ∡AED = 180°
∡AED + ∡AEC = 180°