SOLUTION: I need help solving this proof. Given: D is the midpoint of AB; E is the midpoint of AC Prove: DE is parallel to BC; DE=1/2BC Please help! It is a two column proof

Question 1016519: I need help solving this proof.
Given: D is the midpoint of AB; E is the midpoint of AC
Prove: DE is parallel to BC; DE=1/2BC
Please help! It is a two column proof
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
First, label all known congruent sides. From this, you can show that triangles ADE and ABC are similar with a 1:2 ratio, which establishes that DE = BC/2.

By matching corresponding angles in triangles ADE and ABC, you can then show that DE || BC.
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