Geometry Class work , i need help please

User Generated

Gvssnal0507

Mathematics

Description


Given:  Triangle  ABC with AD/DB = CE/EB  

Prove:  LINE DE || LINE AC                                  

What is the missing step in the proof number 8?


1. AD/DB = CE/EB ---------->   given


2.AD/DB+1 = CE/EB+1 -------->  Addition Property of Equality


3.AD+DB/DB =CE+EB/EB ---------------> using common denominators

4. AB = AD + DB
 CB = CE + EB  ----------> segment addition


5.AB/DB =CB/EB ------>  Substitution Property of Equality


6.angle ABC congruent to angle DBE ------------>  Reflexive Property of Congruence


7.triangle ABC ~ triangle DBE ----------> SAS similarity criterion


8.  MISSING PROOF?     --------- > Corresponding angles of similar triangles are congruent.


9.LINE DE || LINE AC  ----------------------------> If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel.

Unformatted Attachment Preview

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer


Anonymous
Just what I was looking for! Super helpful.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags