SOLUTION: Given:In triangle DEF, line segment DE is congruent to line segment EG. Prove:Measure angle EDF is larger than measure angle F. Proof: Statements

Algebra ->  Rectangles -> SOLUTION: Given:In triangle DEF, line segment DE is congruent to line segment EG. Prove:Measure angle EDF is larger than measure angle F. Proof: Statements       Log On


   



Question 34729: Given:In triangle DEF, line segment DE is congruent to line segment EG.
Prove:Measure angle EDF is larger than measure angle F.
Proof:
Statements
1.In triangle DEF, line segment
DE is congruent to line segment EG.
Reason: 1.Given
2.DE is equal to EG
Reason:2.Definition of congruent segments
3.EG plus GF is equal to EF
Reason:3.Addition Property
4.EF>EG
Reason:4. Defintion of >
5.EF>DE
Reason:5.Substitution Property
6. therefore Measure angle EDF is
Reason:6.?
larger than measure angle F.

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
CORRECT .BUT ONCE AGAIN YOU DID NOT MENTION IN THE PROBLEM WHAT IS G.YOU SHOULD WRITE FIRST THAT G IS A POINT ON EF SUCH THAT DE=EG.ASSUMING SO YOUR PROOF IS OK IS IT NANI?
UNDER REASON 6 ,YOU MAY WRITE THAT IN A TRIANGLE (DEF HERE), IF ONE SIDE (EF)IS LARGER THAN ANOTHER SIDE(DE) ,THEN ANGLE OPPOSITE THE LARGER SIDE(ANGLE D )IS GREATER THAN THE ANGLE OPPOSITE THE SMALLER SIDE(ANGLE F).