Given:BD is the altitude of triangle ABC and BD is the median of triangle ABC Prove:triangle ABD is congruent to triangle CBD

Statement
1.
[tex]BD\text{ is the altitude and }the\text{ median of }\Delta ABC[/tex]2.
[tex]AD=DC[/tex]3.
[tex]\angle ADBand\angle CDB\text{ are right triangles}[/tex]4.
[tex]BD=BD[/tex]5.
[tex]undefined[/tex]Reason
1. Given
2. Because BD is the median
3. Because BD is the altitude (def of perpendicular lines)
4. Reflexive property