SOLUTION: always, never or sometimes. The perimeter of the triangle formed by the mid-segments is ___ one third of the original triangle's perimeter. Why?

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Question 532260: always, never or sometimes. The perimeter of the triangle formed by the mid-segments is ___ one third of the original triangle's perimeter. Why?
Answer by solver91311(24713) About Me  (Show Source):
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Never. The segment that joints the midpoints of two sides of a triangle is parallel to and one-half the measure of the third side of the triangle. Hence, the three mid-point joiners will sum to one-half the perimeter of the original triangle. Look up the Midpoint Theorem; it will be in your Geometry book.

John

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