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The flowchart proof should be completed as follows;
Statement Reason
BD bisects ∠ABC Given
AB ≅ CB Given
∠ABD ≅ ∠CBD An angle bisector divides an angle into two congruent angles
BD ≅ CB Reflexive Property of Congruence
ΔABD ≅ ΔCBD SAS Congruence Theorem
In Mathematics, an angle bisector is a type of line, ray, or segment, that typically divides or bisects a line segment exactly into two (2) equal and congruent angles.
Based on the definition of an angle bisector, we can logically deduce the following congruent angles;
∠ABD ≅ ∠CBD
Based on the side, angle, side (SAS) congruence theorem, we can logically deduce that ∆ABD is congruent with ∆CBD as follows;
ΔABD ≅ ΔCBD
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Rewritten by : Barada
