november. get a worksheet from the front, complete the crossword puzzle!
TRANSCRIPT
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Midsegments & Medians
November
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Warm Up
• Get a worksheet from the front, complete the crossword puzzle!
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Midsegment Activity
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What is a midpoint?
• A midpoint cuts a line or a side in half.
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Midsegment TheoremTheorem: If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side of the triangle and is half as long.
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Example 1
• Find the values of the midsegments:
3040
50
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Identifying Parallel Segments
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Example 3
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Examples-Find x!
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Word Problem
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Word Problem
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Lesson Check!
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Medians• A median of a triangle is a
segment whose endpoints are a vertex and the midpoint of the opposite side.
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Concurrency• The point of concurrency of
the medians is called the CENTROID.
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So what does this 2/3 thing mean?BREAK THE MEDIAN INTO THIRDS
2 of the THIRDS are the LONGER PIECE1 of the THIRDS is the SMALLER
The smaller is always HALF of the BIGGER piece
1/3
2/3
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Example 1
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Example 2
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Example 3
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Partner Race!
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Homework
• Worksheet