**In quadrilateral ACBD, AC=AD and AB bisects (see figure). Show that . What can you say about BC and BD?**

**Solution:**

In and , we have

AC=AD ** (Given)**

**(Given)**

AB=AB **(Common)**

Therefore, by SAS congruence rule, .

**BC would be equal to BD because these are corresponding parts of congruent triangles ( and ).**