Given: AB = CB, LABD= LABD= LCBD Prove: LA= LCStatement Reason
![Given AB CB LABD LABD LCBD Prove LA LCStatement Reason class=](https://us-static.z-dn.net/files/d81/54888b47167021d04c56ac3152065533.png)
Explanation:
We know that AB = CD and that ∠ABD = CBD because it is given information.
Then, we have that BD = BD because a side is congruent to itself. It is called the reflexive property of congruence.
Now, we can say that ΔABD = ΔBDC by SAS (Side - Angle - Side) because we have two congruent sides and the angle between them is also congruent
Finally, ∠A = ∠C because the corresponding sides of congruent triangles are congruent
Answer:
Therefore, the answer is