Given:
AB is perpendicular to AC
DC is perpendicular to AC
DB bisects AC at point E

Statement: Reason:
1.AB is perpendicular to AC 1.Given
DC is perpendicular to AC
DB bisects AC

2.m∠CAB = 90˚ 2.Def. of Perpendicular Lines
and m∠ACD = 90˚

3.AE≅EC 3.Def. of Bisector
4.angle DEC≅BEA 4.Vertical Angle Theorem
5.ΔDEC≅ΔBEA 5.ASA

Which figure correctly displays this proof?

Question

Given:
AB is perpendicular to AC
DC is perpendicular to AC
DB bisects AC at point E

Statement:                                        Reason:
1.AB is perpendicular to AC          1.Given
DC is perpendicular to AC
DB bisects AC 

2.m∠CAB = 90˚         2.Def. of Perpendicular Lines
and m∠ACD = 90˚

3.AE≅EC                      3.Def. of Bisector
4.angle DEC≅BEA       4.Vertical Angle Theorem 
5.ΔDEC≅ΔBEA             5.ASA

Which figure correctly displays this proof?

anonymous · Answer

attachment

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

choice A is out because AB is not perpendicular to AC

jim_thompson5910 · Answer

choice C is also out because DC is not perpendicular to AC

jim_thompson5910 · Answer

choice B is out because angle DEC is not a vertical angle to angle BEA

jim_thompson5910 · Answer

So that leaves choice D as the final answer

anonymous · Answer

Theyre Not The Same But im Confused :/

jim_thompson5910 · Answer

alright I'll go back to your question and answer it

anonymous · Answer

Okay Thanks