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Midsegements & Perpendicular Bisectors

Midsegements & Perpendicular Bisectors

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5.1 5.2 notes 5.1 5.2 notes Document Transcript

  • 5.1­5.2 November 05, 2013 5.1  Midsegment of a Triang Midsegment of a Triangle:  segment that connects the midpoints of 2 sides of a  Every triangle has 3 midsegments. Midsegement Theorem:  midsegment is parallel to the 3 side and is 1/2 as long B D E A F C DE // AC DE = 1/2 AC DF // BC DF = 1/2 BC EF // BA EF = 1/2 BA Nov 8­8:13 AM HW worksheet odds 1
  • 5.1­5.2 November 05, 2013 Nov 8­11:45 AM HW worksheet odds 2
  • 5.1­5.2 November 05, 2013 Nov 8­11:50 AM HW worksheet odds 3
  • 5.1­5.2 November 05, 2013 5.2  Perpendicular Bisector Equidistant:  same distance Perpendicular Bisector:  a segment that is perpendicular to a segment at its midpoint. C A P B CP is   bisesctor of AB Perpendicular Bisector Theorem: If a point is on the    bisector, then it is equidistant from  the endpoints of the segment.  C If CP is      bisesctor of AB, then CA = CB A B P Converse of the Perpendicular Bisector Theorem: If a point in equidistant from the  endpoints of a segment, then it is  on the    bisector. C A B If DA = DB, then D lies on the   bisesctor of AB. P D Nov 8­11:51 AM HW worksheet odds 4
  • 5.1­5.2 November 05, 2013 Nov 8­2:02 PM HW worksheet odds 5
  • 5.1­5.2 November 05, 2013 Concurrent:  when 3 or more lines intersect in the same point Point of Concurrency:  the point of intersection Circumcenter:  the point of concurrency of the 3 perpendicular bisectors of a  Nov 8­2:01 PM HW worksheet odds 6
  • 5.1­5.2 November 05, 2013 Concurrency of Perpendicular Bisector Theorem: the  perpendicular bisector of a triangle intersects at a point that is  equidistant from the vertices. B AP=BP=CP P A C Nov 5­8:44 AM HW worksheet odds 7
  • 5.1­5.2 November 05, 2013 HW worksheet o Nov 8­2:15 PM HW worksheet odds 8
  • 5.1­5.2 November 05, 2013 Nov 15­8:00 AM HW worksheet odds 9
  • 5.1­5.2 November 05, 2013 Nov 15­8:00 AM HW worksheet odds 10