Question

Write a two column proof. Given: BD|AC and BD bisects AC . Prove: triangle ABD is congruent to triangle CBD

Answer 1

both triangle ADB and DBC r right angle triangle...
considering 2 triangle ADB and triangle DBC
AD = DC ( data )
angle ADB = angle BDC = 90 degree ( AD is perpendicular to AC)
AD is common for both triangles
therefor the 2 triangle r congruent
(SAS)

Answer 2

how would i write this in a statment-reason chart?

Answer 3

to be honest .. i have never wrote them in statement - reason charts.. but it should be like this... but if u r doubtful i suggest u to ask from someone like @ganeshie8

Answer 4

thanks Isuru, @ganeshie8 is this correct?

Answer 5

@shamil98

Answer 6

1. \(\large BD \perp AC\) 1. Given
2. \(\angle BDA\) and \(\angle BDC\) are right angles 2. definition of perpendicularity
3, \(\large AD \cong DC\) 2. Definition of bisector
4. \(\large \angle BDA \cong \angle BDC\) 3. all right angles are congruent
5. \(\large BD \cong BD\) 5. By reflexive property
6. \(\triangle ABD \cong \triangle CBD\) 6. By SAS congruence

Answer 7

ive just converted the ISURU's paragraph proof to a two column proof
see if that makes sense :)

Answer 8

thanks so much both of you :)
proofs are not something im very good at, but this helps!