Given: BD¯¯¯¯¯ bisects∠ABC, and AE←→∥BD¯¯¯¯¯. Prove: ADDC=ABBC A vertically aligned triangle with vertices labeled as A, B, and C. Side C B is the base, and the top vertex is A. Side A C contains a midpoint labeled as D. A line segment is drawn from point B to point D. A ray extends through vertex C and passes through vertex B and extends up to a point labeled as E. A ray extends through vertex A and passes the ray C E at point E. Sides D B and A E are marked with single arrow heads. Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 1 BD¯¯¯¯¯ bisects∠ABC, andAE←→∥BD¯¯¯¯¯. Given Given: BD¯¯¯¯¯ bisects∠ABC, and AE←→∥BD¯¯¯¯¯.

Prove: ADDC=ABBC

A vertically aligned triangle with vertices labeled as A, B, and C. Side C B is the base, and the top vertex is A. Side A C contains a midpoint labeled as D. A line segment is drawn from point B to point D. A ray extends through vertex C and passes through vertex B and extends up to a point labeled as E. A ray extends through vertex A and passes the ray C E at point E. Sides D B and A E are marked with single arrow heads. Given: BD¯¯¯¯¯ bisects∠ABC, and AE←→∥BD¯¯¯¯¯.

Prove: ADDC=ABBC

A vertically aligned triangle with vertices labeled as A, B, and C. Side C B is the base, and the top vertex is A. Side A C contains a midpoint labeled as D. A line segment is drawn from point B to point D. A ray extends through vertex C and passes through vertex B and extends up to a point labeled as E. A ray extends through vertex A and passes the ray C E at point E. Sides D B and A E are marked with single arrow heads.