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Triangles and Isoscles

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Presentation on theme: "Triangles and Isoscles"— Presentation transcript:

1 Triangles and Isoscles
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 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

5 Properties of Angles Remember all the different angle properties
Vertical Linear Pair AI AE Corr SSI

6 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

7

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 Pg Honors pg


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