Question

Given: AB AC, AD bisects ZBAC

Prove: ABAD - ACAD
1. Given
2. AD bisects ZBAC
3.
4. Reflexive Property.
What is the missing statement (Statement 3) in the proof?
A) ZBAD & LCAD
B) AC = AD
C) BD = CD
D) ZBAD = ZCAD

Answer 1

To prove that AB = AC, AD bisects ∠BAC, we use the given information and the reflexive property. Then, we conclude that ABAD - ACAD.

Step-by-step explanation:

1. Given: AB = AC, AD bisects ∠BAC
2. AD bisects ∠BAC
3. AB = AC (Given)
4. AD = AD (Reflexive Property)
5. ∠BAD = ∠DAC (AD bisects ∠BAC)
6. ABAD - ACAD (Definition of a bisecting line)