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Transcript
Geometry 4-1 and 4-2 Notes 4-1 and 4-2 Notes A triangle with one right angle. October 25, 2016 Geometry 4-1 and 4-2 Notes a triangle with all acute angles a triangle with one obtuse angle October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 a triangle with no congruent sides a triangle with all congruent sides Geometry 4-1 and 4-2 Notes October 25, 2016 a triangle with at least 2 congruent sides Isosceles Triangles Base Legs Base Angles Vertex Angle Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes Classify Triangle PQS Classify Triangle QSR Classify Triangle PQR October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Classify Triangle ABC, find the length of all 3 sides. Triangle FGH is equilateral, find y. Geometry 4-1 and 4-2 Notes 4.1 Notes Cut out a: -Acute Triangle -Obtuse Triangle -Right Triangle October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 Geometry 4-1 and 4-2 Notes 4.2 Notes The Sum of the interior angles of a triangle is 180˚ October 25, 2016 Geometry 4-1 and 4-2 Notes October 25, 2016 4.2 Notes The Sum of the interior angles of a triangle is 180˚ Is this a conjecture or a fact? x o 41 o 28 Geometry 4-1 and 4-2 Notes October 25, 2016 a b ? a ? a b b a b ? ? Geometry 4-1 and 4-2 Notes October 25, 2016 a b b a ? ? Third Angle Conjecture: If two angles of one triangle are congruent to two angles of another triangle, then the third angles from each triangle are also congruent. There are a couple of other consequences that follow from the Sum of the interior angles of a triangle = 180 degrees: 1. Acute angles of a right triangle are complementary. 2. There can be at most one right angle or one obtuse angle in a triangle. Geometry 4-1 and 4-2 Notes October 25, 2016 Exterior Angle of a Triangle (label the parts) The measure of the Exterior Angle is equal to the _______________________________ Exterior Angle of a Triangle (label the parts) exterior angle 1 .-Remote Interior 3 4 Angles 2 The measure of the Exterior Angle is equal to the _______________________________ Geometry 4-1 and 4-2 Notes 4-1: 15-37, 40-46, 49-52 4-2: 12-33, 36-38, 49 October 25, 2016
