Given: A ABC, FC I BA, and AF bisects ZBAC AB Prove: AC BD CD A B C D Note: Image not drawn to scale. Drag an expression or phrase to each box to complete the proof.Drag an expression or phrase to each box to complete the proof. Statement Reason A ABC, FC I BA, and AF bisects ZBAC Given ZBAD = LCAD ZBAD = LCFD Alternate Interior Angles Theorem ZCFD = LCAD Substitution Property Vertical angles are congruent. A ADB ~A FDC Angle Angle Similarity Postulate AB FC BD CD Definition of similar triangles AC = FC Converse of Base Angles Theorem AB AC BD CD Angle Addition Postulate Substitution Property ZBAD = LCAD LADB = LCDF Definition of angle bisector Definition of congruent anglesA ACE, Given: BD I AE BA DE Prove: CB CD C B 4 2 D E Drag an expression or phrase to each box to complete the proof.Drag an expression or phrase to each box to complete the proof. Statement Reason A ACE, Given BD I AE Corresponding Angles Postulate A ACE ~A BCD CA CE CB CD Definition of similar triangles CA = CB + BA Segment Addition Postulate CE = CD + DE CB+BA CD+DE CB CD CB + BA CD DE CB CB + CD Addition of fractions 1 + BA CB = 1+ DE CD Simplification of fractions BA DE CB CD Subtraction Property of EqualitySubstitution Property of Equality Angle-Angle Similarity Postulate Side-Side-Side Similarity Postulate 24 = 21, 23 = 42 23 = 21, 24 = 22