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Transcript
2015-04-02 Geometry “Factsheet for Interior and Exterior Angles of a Polygon and Isoceles Triangles” The sum of the measures of the interior angles of a polygon of n sides = 180 (n-2)° Measures of the Exterior Angles of a Polygon with N Sides The measures of the exterior angles = 180n – the measures of the interior angles = 180n – 180 (n-2)° = 180n - (180n – 360) = 360° The sum of the exterior angles of a polygon is always 360° Isosceles Triangles: Triangles with two equal sides. Proof that the base angles of an isosceles triangle are equal (congruent): Statements Reasons Triangle ABC Given AC = BC Given Draw CD to midpoint of AB AD = DB CD = CD Triangle ACD <A <B You can draw a line between 2 points A midpoint divides a line segment in half Reflexive property Triangle DCB SSS Corresponding parts of congruent triangles are congruent.