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Published byHannah O'Neill Modified over 2 years ago

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Properties of Special Triangles Objective: Write conjectures about isosceles triangles

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Vertex angle Isosceles Triangle base Base angles legs

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Construct an Isosceles Triangle 1.Draw an angle, label it C 2.Mark congruent segments along each side. Label A and B 3.Connect A and B 4.Measure and label base angles. 5.Is there a pattern? C 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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Is the converse true? Converse of the Isosceles Triangle Conjecture If a triangle has two congruent angles, then ___________________________ it is an isosceles triangle. 1. Draw a segment and label AB 2. Draw an acute angle at point A 3. Copy at point B. 4. Label point of intersection C 5. Measure AC and BC AB C

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Find the following: Example Pg 206 #1-7, 10, 11 BD E 42 0 C A cm 3 cm

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