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Triangles and Isoscles
Sum of angles and properties of isosceles
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Triangle Sum Conjecture
Conjecture – a generalization resulting from inductive reasoning Sum of angles of a triangle =180 Can you prove this without using a protractor
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This is on page 201 Try and write a proof on why the angles add to 180
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The proof Statement Reason EC is a line Given AB is parallel to EC
1+2+3=180 def of a line 1=4 AI 3=5 4+2+5=180 Substitution
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Properties of Angles Remember all the different angle properties
Vertical Linear Pair AI AE Corr SSI
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Isosceles Triangles 2 congruent sides - legs
2 congruent angles – formed by non congruent sides, base angles Non Congruent side is called the base Vertex – non congruent angle, formed by congruent sides
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If legs are congruent then it is an isosceles triangle If base angles are congruent then it is an isosceles triangle
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Examples Find the missing measures
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Homework Pg Pg Honors pg
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