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Properties of Special Triangles Objective: Write conjectures about isosceles triangles.

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Presentation on theme: "Properties of Special Triangles Objective: Write conjectures about isosceles triangles."— Presentation transcript:

1 Properties of Special Triangles Objective: Write conjectures about isosceles triangles

2 Vertex angle Isosceles Triangle base Base angles legs

3 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.

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

5 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

6 Find the following: Example Pg 206 #1-7, 10, 11 BD E 42 0 C A 96 0 7 cm 3 cm


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