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**Properties of Special Triangles**

Objective: Write conjectures about isosceles triangles

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Isosceles Triangle Vertex angle legs base Base angles

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**Construct an Isosceles Triangle Draw an angle, label it C **

Mark congruent segments along each side. Label A and B Connect A and B Measure and label base angles. Is there a pattern? A B Base angles Isosceles Triangle Conjecture If a triangle is isosceles, then ________________________ its base angles are congruent.

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**Does this conjecture apply to an equilateral triangle?**

All isosceles conjectures apply to equilateral triangles

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**Converse of the Isosceles Triangle Conjecture**

Is the converse true? Converse of the Isosceles Triangle Conjecture If a triangle has two congruent angles, then ___________________________ C it is an isosceles triangle. Draw a segment and label AB Draw an acute angle at point A Copy at point B. Label point of intersection C Measure AC and BC A B

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**Example Pg 206 #1-7, 10, 11 Find the following: A 7cm E 960 420 3 cm C**

B D Find the following:

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2.1:Triangles Properties - properties M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems.

2.1:Triangles Properties - properties M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems.

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