Properties of Special Triangles

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Properties of Special Triangles Objective: Write conjectures about isosceles triangles

Isosceles Triangle Vertex angle legs base Base angles

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.

Does this conjecture apply to an equilateral triangle? All isosceles conjectures apply to equilateral triangles

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

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