Lindsay882
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A conjecture and the paragraph proof used to prove the conjecture are shown.



Given: E is the midpoint of segment D F. Prove: 2 D E equals D F. A segment DF is horizontal with endpoints D and F. E is the midpoint of the segment.



Drag an expression or statement to each box to complete the proof.

A conjecture and the paragraph proof used to prove the conjecture are shown Given E is the midpoint of segment D F Prove 2 D E equals D F A segment DF is horizo class=

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zainabekram2

Answer:

1. DF (option 3)

2. segment addition postulate

3. segment congruence postulate

4. DF (option 5)

Answer with explanation:

Given: E is the mid point of DF.

Prove: 2 DE=D F

Proof with explanation:

   It is given that [tex]\Bar{DE}[/tex] is mid point of [tex]\Bar{DF}[/tex].

1.→

 So, [tex]\Bar{DE}\cong\Bar{DF}[/tex]

                       -------------------------By Definition of mid point

2.→ DE=E F----------------Segment Congruence Postulate

3.→DE+E F=D F ----------------Segment Addition Postulate

4.→DE+DE=D F-------------By Substitution

5.→Simplifying gives

  2 DE=D F

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