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Brain Strain Find the value of x. x x x xx
Special Segments in Triangles
Tell whether each red segment is an altitude of the triangle. The altitude is the true height of the triangle.
Tell whether each red segment is an perpendicular bisector of the triangle.
Drill & Practice Indicate which special triangle segment the red line is based on the picture and markings
Points of Concurrency
The intersection of the angle bisectors is called the INCENTER. Equidistant to the sides
The intersection of the altitudes is called the ORTHOCENTER.
The intersection of the medians is called the CENTROID. Vertex to Centroid is Twice as Long as Centroid to Midpoint
The intersection of the perpendicular bisector is called the CIRCUMCENTER. Equidistant to the vertices
Memorize these! MC AO ABI PBCC Medians/Centroid Altitudes/Orthocenter Angle Bisectors/Incenter Perpendicular Bisectors/Circumcenter
Will this work? MC AO ABI PBCC My Cat Ate Our Apples But I Prefer Blue Cheese Crumbles
Special Property of Medians
Theorem Vertex to CENTROID is TWICE as long as CENTROID to MIDPOINT vertex centroid midpoint
A B F X E C D
A B F X E C D
In ABC, AN, BP, and CM are medians. A B M P E C N If EM = 3, find EC. Ex: 1
In ABC, AN, BP, and CM are medians. A B M P E C N If EN = 12, find AN. Ex: 2
In ABC, AN, BP, and CM are medians. A B M P E C N If CM = 3x + 6, and CE = x + 12, what is x? CM = CE + EM Ex: 3
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Congruent Triangles 4.52 Importance of concurrency.
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FeatureLesson Geometry Lesson Main (For help, go to Lesson 1-7.) Lesson an angle bisector 2. a perpendicular bisector of a side 3. Draw GH Construct.
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Properties of Special Triangles Objective: Write conjectures about isosceles triangles.
FeatureLesson Geometry Lesson Main 1. Complete the sentence: To find the centroid of a triangle, you need to draw at least ? median(s). 2. FGH has vertices.
Investigation. Find the distance between two points A(1, 2) and B(3, 6) A(1,2) B(3,6) Form a triangle and use Pythagoras to find the distance between.
MODULE II VOCABULARY PART I. MODULE II The name of this module is “Reasoning and Proof”. In this module, we will begin a deeper understanding of proofs.
GEOMETRY LESSON 5-4 (For help, go to Lesson 2-1 and 2-2.) 1. If it snows tomorrow, then we will go skiing. 2. If two lines are parallel, then they do not.
Nina Dorion 9-5. Perpendicular bisector: line that cuts a segment into two equal parts which measure 90. Converse: if a point is equidistant from the.
A triangle with at least two sides congruent is called an Isosceles Triangle. bc a In this triangle, sides b and c are congruent.
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