SOLUTION: Prove that the line segments joining the midpoints of the sides of an equilateral triangle are congruent. I understand why they'd be congruent, but I'm not sure how you'd 'prove

Algebra ->  Geometry-proofs -> SOLUTION: Prove that the line segments joining the midpoints of the sides of an equilateral triangle are congruent. I understand why they'd be congruent, but I'm not sure how you'd 'prove      Log On


   

Question 920110: Prove that the line segments joining the midpoints of the sides of an equilateral triangle are congruent.
I understand why they'd be congruent, but I'm not sure how you'd 'prove' it. Is it a standard 'statement/reason' chart, or something else?
Thanks!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let You provide Reasons
MB ≅ QC
BC ≅ CB
∠B ≅ ∠C
Triangle MBC ≅ Triangle QCB SAS
MC ≅ BQ