Given: In ∆ABC, line DE || to line AC.
Prove: BD/BA = BE/BC

The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally.

Question

Given: In ∆ABC, line DE || to line AC.
Prove: BD/BA = BE/BC

The two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally.

anonymous · Answer

Triangle

anonymous · Answer

Two column proof with missing statements

anonymous · Answer

I have to fill in the blanks in the two-column proof.

anonymous · Answer

@jim_thompson5910 @Hero @hartnn @phi @Luis_Rivera @Zarkon @Agent_Sniffles @zepdrix

anonymous · Answer

@mathstudent55 @AriPotta @timo86m @inkyvoyd @marcoduuuh @nubeer Pleaseee help!

anonymous · Answer

3. <BDE = <BAC. (Corresponding angles)

Hence BD/BA = BE/BC. (Corresponding sides of two similar triangles are proportional.)

anonymous · Answer

Thanks so much :) You're a life saver!