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Brain Strain

Brain Strain. Find the value of x. x. x. x. x. x. Special Segments in Triangles. Median. Median. Connect the vertex to the opposite side's midpoint. Altitude. Altitude. Connect the vertex to opposite side and is perpendicular.

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Brain Strain

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  1. Brain Strain Find the value of x. x x x x x

  2. Special Segments in Triangles

  3. Median Median Connect the vertex to the opposite side's midpoint

  4. Altitude Altitude Connect the vertex to opposite side and is perpendicular

  5. Tell whether each red segment is an altitude of the triangle. The altitude is the “true height” of the triangle.

  6. Perpendicular Bisector Perpendicular Bisector Go through a side's midpoint and is perpendicular

  7. Tell whether each red segment is an perpendicular bisector of the triangle.

  8. Angle Bisector Angle Bisector When the angle is cut into 2 congruent parts

  9. Drill & Practice Indicate which special triangle segment the red line is based on the picture and markings

  10. Who am I?

  11. Who am I?

  12. Who am I?

  13. Who am I?

  14. Who am I?

  15. 20 20 Who am I?

  16. Points of Concurrency

  17. The intersection of the angle bisectors is called the INCENTER. Equidistant to the sides

  18. The intersection of the altitudes is called the ORTHOCENTER.

  19. The intersection of the medians is called the CENTROID. Vertex to Centroid is Twice as Long as Centroid to Midpoint

  20. The intersection of the perpendicular bisector is called the CIRCUMCENTER. Equidistant to the vertices

  21. MC AO ABI PBCC Medians/Centroid Altitudes/Orthocenter Angle Bisectors/Incenter Perpendicular Bisectors/Circumcenter Memorize these!

  22. MC AO ABI PBCC My Cat Ate Our Apples But I Prefer Blue Cheese Crumbles Will this work?

  23. Special Property of Medians

  24. vertex Theorem Vertex to CENTROID is TWICE as long as CENTROID to MIDPOINT 2x centroid x midpoint

  25. C How much is CX? D E X 13 B A F

  26. C How much is XD? D E X 18 B A F

  27. Ex: 1 In ABC, AN, BP, and CM are medians. C If EM = 3, find EC. N P E B M A

  28. Ex: 2 In ABC, AN, BP, and CM are medians. C If EN = 12, find AN. N P E B M A

  29. C N P E B M A Ex: 3 In ABC, AN, BP, and CM are medians. If CM = 3x + 6, and CE = x + 12, what is x? CM = CE + EM

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