Question

show that abc is congruent to abd

Answer 1

In ∆ ABC and ∆ ADB
side AB congruent to side AB ....{ comman side}
/_ CAB congruent to /_DAB
....{ AB is the bisector of angle CAB}
Side AC congruent to side AD.....{Given}

therefore ∆ ACB congruent to ∆ ADB
....{ SAS test of congruence}

therefore. side BC congruent to Side BD
...{ c.s.c.t.)