Question

Given: BC = AD and BC || AD.Prove: ABECADEA.StepStatementReason1BCADBC | ADGiventryType of StatementBEDANote: AC and BD are segments

Answer 1

∆BEC =~ ∆ DEA

Then

Statements. Reason

BC=~ AD Given

BC || AD. A.S.A. (angle, side ,angle)

Proof by angle ,side ,angle. A.S.A

1. Parallel lines BC||AD,. Angle

2.BC=~ AD. Side

3. Both triangles ∆ BEC , ∆DEA, shares angle 180° -E

Segments AB, and DC, are congruent