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Transcript
UNIT 4: CONGRUENT TRIANGLES 4.1 – Triangles and Angles Classifying Triangles Definition of a Triangle Classifying Triangles by Sides Equilateral Triangle MA30: GEOMETRY (Text Ref: Ch 4.1 Pg 194-201) I. Classifying Triangles A. Definition of a Triangle – B. Classifying Triangles by Sides 1) Equilateral Triangle – 2) Isosceles Triangle – Isosceles Triangle Scalene Triangle Classifying Triangles by Angles Acute Triangle 3) Scalene Triangle – C. Classifying Triangles by Angles 1) Acute Triangle – 2) Equiangular Triangle – Equiangular Triangle Right Triangle Obtuse Tirangle Classify Triangles Example #1 3) Right Triangle – 4) Obtuse Triangle – D. Classify the Triangle by Sides and Angles (1) Labeling Parts of a Triangle (2) E. Labeling Parts of a Triangle Vertex – Adjacent Sides – Opposite Sides – (3) (4) 4.1 – Triangles and Angles (continued) Parts of a Right Triangle F. Right Triangles Legs – Hypotenuse – Parts of an Isosceles Triangle G. Isosceles Triangles Legs – Base – Using Angle Measures of Triangles III. Using Angle Measures of Triangles A. Vocabulary Interior Angles – Interior Angles Exterior Angles Exterior Angles – Theorem 4.1 B Theorem 4.1 – Triangle Sum Theorem The sum of the interior angles of a triangle is ____________. Theorem 4.2 C. Theorem 4.2 – Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to… Corollary to the Triangle Sum Theorem D. Corollary to the Triangle Sum Theorem The acute angles of a right triangle are _______________. IV. Find the Value of the Variable (1) (2) (3) (4)