# Write a two column proof that segment AC `cong` segment BD. Statements Reasons

*print*Print*list*Cite

### 1 Answer

In given fig.

consider triangle ABC and triange BAD.

i.e. in `Delta ABC andDelta BAC`

`angle ABC= angle BCA` (given)

AB= BA ( same segment)

`angle BAC=angle ABD= 90^o ` (given)

Thus by ASA property `Delta ABC cong Delta BAC`

since congruent part of cobgruent triangles are equal . Therefore

AC=BD.