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Triangles and Isosceles Sum of angles and properties of isosceles.

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Presentation on theme: "Triangles and Isosceles Sum of angles and properties of isosceles."— Presentation transcript:

1 Triangles and Isosceles Sum of angles and properties of isosceles

2 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

3 This is on page 201 Try and write a proof on why the angles add to 180

4 The proof StatementReason EC is a lineGiven AB is parallel to ECGiven 1+2+3=180def of a line 1=4AI 3=5AI 4+2+5=180Substitution

5 Properties of Angles Remember all the different angle properties 1.Vertical 2.Linear Pair 3.AI 4.AE 5.Corr 6.SSI

6 Isosceles Triangles 1.2 congruent sides - legs 2.2 congruent angles – formed by non congruent sides, base angles 3.Non Congruent side is called the base 4.Vertex – non congruent angle, formed by congruent sides

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8 If legs are congruent then it is an isosceles triangle If base angles are congruent then it is an isosceles triangle

9 Examples Find the missing measures

10 Homework Pg 203 4-8 Pg 208 6-9 Honors pg 209 10


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