This ppt includes the following topics:- Classifying Triangles by Sides Classifying Triangles by Angles Parts of an Isosceles Triangle Angle Sum Theorem Third Angle Theorem Corollaries
2. A triangle is the figure formed by 3 segments joining 3 noncollinear points. Each of the 3 points is a vertex. The segments are the sides. Sides : AB, BC , CA A Vertices : points A, B, C C B
3. Classifying Triangles by Sides Scalene Triangle – no sides congruent Isosceles Triangle – At least 2 sides congruen Equilateral Triangle – All sides congruent
4. Classifying Triangles by Angles 700 50 0 Acute – 3 acute angles 600 Right – 1 right angle 400 1200 200 Obtuse – one obtuse angle 600 600 600 Equiangular – all angles congruent
5. Parts of an Isosceles Triangle vertex angle leg leg base base angles
6. Angle Sum Theorem The sum of the measures of the angles of a triangle is 180. 1000 40 0 400
7. Third Angle Theorem If2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are congruent.
8. Corollaries statements that can be easily proved using a theorem Each angle of an equiangular triangle has measure 60. In a triangle, there an be at most one right angle or obtuse angle. The acute angles of a right triangle are complementary.
9. Exterior Angle Theorem The measure of an exterior angle of a triangle equals the sum of the measures of the 2 remote interior angles. Remote interior 350 angles Exterior 750 400
10. Joke Time What has wings and solves number problems? A mothematician
11. What did one math book say to the other math book? Don’t bother me! I’ve got my own problems!
12. What would a math student say to a fat parrot?