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Transcript
Geometry 4.1 Triangle Sum Properties Name: _____________________________ 𝐵 A triangle is a polygon with ____________________ sides. A triangle with vertices 𝐴, 𝐵 and 𝐶 is called “triangle 𝐴𝐵𝐶” or _________________ 𝐴 𝐶 Triangles can be classified by their _____________________ or by their ________________________. Classifying Triangles by Sides Scalene Triangle Isosceles Triangle Equilateral Triangle _______ Congruent Sides _______ Congruent Sides _______ Congruent Sides Classifying Triangles by Angles Acute Triangle Right Triangle Obtuse Triangle Equiangular Triangle Classify the triangles based on their sides AND angles. 1) ________________________ 2) 3) ________________________ ________________________ Use the figure to classify each triangle by its angle measures 4. DFG 5. DEG 6. EFG Classify each triangle by its side lengths. 7. EGF 8. DEF 9. DFG When the sides of a polygon are extended, two types of angles are formed: interior angles and exterior angles. Interior angles: Angles inside of the triangle Exterior Angles: Form ___________________________________ with the interior angles Interior Angles Exterior Angles Triangle Sum Theorem: The sum of the measures of the interior angles of a triangle is _______ 𝐵 𝐴 𝐶 Corollary to the Triangle Sum Theorem: The acute angles of a right triangle are _________________________________ 𝐴 𝐵 𝐶 Find the value of 𝒙. a. b. 35° c. 40° 40° 𝑥° 2𝑥 + 5° Find the side lengths of each triangle. 10. 11. 35° 3𝑥° 4𝑥°