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.

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

answer is more than one

step-by-step explanation:

the perimeter is increased by a factor of 2