Question

PLEASE HELP ME OUT! Thank you!

Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA

Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem

FILL THE BLANKS

Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________

Answer 1

Explanation:

1. B is midpoint of DC and EA 1. Given

2. DB ≅ CB 2. Definition of midpoint

3. EB ≅ BA 3. Definition of midpoint

4. ∠EBD ≅ ∠ABC 4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA 5. S A S congruent