Geometry Theorems and Problems
Parallel lines, triangle angle-sum theorem, exterior angles of polygons, and triangle exterior angle theorem through various problems and theorems in geometry.
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Presentation Transcript
3-5 Parallel Lines and Triangles
Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. There is exactly one line through P parallel to l
Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180
Exterior angle of a polygon: an angle formed by a side and an extension of an adjacent side For each exterior angle of a triangle, the two non adjacent interior angles are its remote interior angles
Triangle Exterior Angle Theorem The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
Problem 3: Using the Triangle Exterior Angle Theorem
Problem 3: Applying the Triangle Theorems