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Mathematics, 20.05.2021 17:00 mutesheep

Given: DE and DF are midsegments of ABC Prove: DE = 1/2 AC

1. midsegments DE and DF: given

2. DF ll BC and AC ll DE: Midsegments are || to the non-included side of the Δ.

3. AB is a transversal cutting DF and BC.

AB is a transversal cutting AC and DE: definition of transversal line

4. m∠FAD = m∠EDB
m∠ADF = m∠DBE: Corresponding Angles Theorem

5. AD = BD: definition of midpoint

6. DBE ≅ ADF: ASA

7. A F = 1/2 AC: definition of midpoint

8.

9. DE = 1/2 AC: Transitive Property of Equality

What is the missing step in this proof?

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Given: DE and DF are midsegments of ABC Prove: DE = 1/2 AC

1. midsegments DE and DF: gi...
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