Question

complete the proof by choosing the correct
eason\.given: $be = df$$ce = ef$prove: $bc = de$statement reason1 $be = bc + ce$ reason ?2 $df = de + ef$ reason ?3 $be = df$ reason ?4 $bc + ce = de + ef$ reason ?5 $ce = ef$ reason ?6 $bc + ef = de + ef$ reason ?7 $bc = de$ reason ?

Explanation:

Step1: Segment Addition Postulate

$BE = BC + CE$

Step2: Segment Addition Postulate

$DF = DE + EF$

Step3: Given Information

$BE = DF$

Step4: Substitution Property

$BC + CE = DE + EF$

Step5: Given Information

$CE = EF$

Step6: Substitution Property

$BC + EF = DE + EF$

Step7: Subtraction Property

$BC = DE$

Answer:

1. Reason: Segment Addition Postulate
2. Reason: Segment Addition Postulate
3. Reason: Given
4. Reason: Substitution Property of Equality
5. Reason: Given
6. Reason: Substitution Property of Equality
7. Reason: Subtraction Property of Equality