Fill In The Blanks
Please complete the following proof
Given: BD−→− bisects ∠CDA
and DB−→− bisects ∠CBA
(6 points)
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Statements Reasons
1. BD−→− bisects ∠CDA
1. Response area
2. <CBD ≅∠ABD
\cong 2. Response area
3. BD¯¯¯¯¯¯¯¯ ≅BD¯¯¯¯¯¯¯¯
3. Response area
4. DB−→− bisects ∠CBA
4. response area
5. ∠CDB ≅∠ADB
5. Response area
6. △CBD≅△ABD
6. Response area
Statements Reasons
1. BD−→− bisects ∠CDA
1. Given
2. <CBD ≅∠ABD
\cong 2. Definition of angle bisector
3. BD¯¯¯¯¯¯¯¯ ≅BD¯¯¯¯¯¯¯¯
3. Reflexive property of congruence
4. DB−→− bisects ∠CBA
4. Given
5. ∠CDB ≅∠ADB
5. Alternate interior angles formed by transversal
6. △CBD≅△ABD
6. Side-Angle-Side (SAS) congruence postulate