i don't get geometry proofs at all! can anyone help!?
given: angle AEC is congruent to angle DEB
prove: angle AEB is congruent to DEC
what are the reasons and statements my geometry teach said there are 5 or 6 steps!
- 1 decade agoFavorite Answer
Draw a circle with E as it's centre.Going around the circle in any direction make points A,B,C, and D in that order.
AEB + BEC = AEC
BEC + CED = BED
AEC - BED = AEB + BEC - BEC - CED
AEC - BED = AEB - CED
If AEC = BED then
AEC - BED = 0
AEB - CED = 0
AEB = CED
But the problem is using DEB and DEC instead of BED and CED
DEB = -BED and DEC = -CED so
AEC + DEB = AEB + DEC
If AEC = DEB then
2 AEC = AEB + DEC
And only if AEB = AEC does AEB = DEC
but that means point B is point C
If the angle DEB is loosely defined and DEB is the same as BED the above proof works