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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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CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.

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