Question

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

Answer 1

Answer:

1. DF (option 3)

2. segment addition postulate

3. segment congruence postulate

4. DF (option 5)

Answer 2

Answer with explanation:

Given: E is the mid point of DF.

Prove: 2 DE=D F

Proof with explanation:

   It is given that $\Bar{DE}$ is mid point of $\Bar{DF}$.

1.→

 So, $\Bar{DE}\cong\Bar{DF}$

                       -------------------------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