Question: Fill in the missing reasons for the geometric proof. From left to right, a line contains points D , E , and F . Given:

Fill in the missing reasons for the geometric proof.

From left to right, a line contains pointsD,E, andF.

Given:Eis the midpoint ofDF.

Prove:DE=1

(DF)

StatementsReasons1.Eis the midpoint ofDF.

---Select---

Division Property of Equality

Substitution Property of Equality

Segment-Addition Postulate

Distributive Property

The midpoint forms two segments of equal measure.

Given

2.DE=EF2.

---Select---

Division Property of Equality

Substitution Property of Equality

Segment-Addition Postulate

Distributive Property

The midpoint forms two segments of equal measure.

Given

3.DE+EF=DF3.

---Select---

Division Property of Equality

Substitution Property of Equality

Segment-Addition Postulate

Distributive Property

The midpoint forms two segments of equal measure.

Given

4.DE+DE=DF4.

---Select---

Division Property of Equality

Substitution Property of Equality

Segment-Addition Postulate

Distributive Property

The midpoint forms two segments of equal measure.

Given

5. 2(DE) =DF5. Combine like terms.6.DE=1

(DF)

---Select---

Division Property of Equality

Substitution Property of Equality

Segment-Addition Postulate

Distributive Property

The midpoint forms two segments of equal measure.

Given

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