Given: LINE AB≅ LINE CB, LINE AD≅ LINE CD, ANGLE BAD≅ ANGLE BCD, LINE BD bisects ANGLE ABC

Prove: TRIANGLE BDE ≅ TRIANGLE CBD

Proof:

Statements
1. LINE AB≅LINE CB, LINE AD≅LINE CD
2.
3. ANGLE BAD ≅ ANGLE BCD
4. ANGLE ABD ≅ ANGLE CBD
5.
6. TRIANGLE ABD ≅ TRIANGLE CBD


Reasons
1.
2. Reflexive Property of congruence
3. Given
4.
5. Third Angles Theorem
6.

Given LINE AB LINE CB LINE AD LINE CD ANGLE BAD ANGLE BCD LINE BD bisects ANGLE ABC Prove TRIANGLE BDE TRIANGLE CBD Proof Statements 1 LINE ABLINE CB LINE ADLIN class=

Respuesta :

Answer:

Step-by-step explanation:

          Statements                                           Reasons

1). AB ≅ CB, AD ≅ CD               1). Given

2). BD ≅ BD                              2). Reflexive Property of congruence

3). ∠BAD ≅ ∠BCD                     3). Given

4). ∠ABD ≅ ∠CBD                     4). Given

5). ∠BDA ≅ ∠BDC                    5). Third angles theorem

6). ΔABD ≅ ΔCBD                     6). SAS property of congruence of two

                                                        triangles