* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Angle Relationships
Survey
Document related concepts
List of regular polytopes and compounds wikipedia , lookup
Tessellation wikipedia , lookup
Rotation formalisms in three dimensions wikipedia , lookup
Line (geometry) wikipedia , lookup
Penrose tiling wikipedia , lookup
History of geometry wikipedia , lookup
Apollonian network wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Technical drawing wikipedia , lookup
Complex polytope wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Transcript
Angle Relationships By Mr. Q Adjacent Angles • Two angles with common vertex • Have common sides • Interior angles do not overlap Supplementary Angles • Two angles whose measures equal 180 degrees 45 degrees ?? Vertical Angles • Also called opposite angles • When two lines intersect, the opposite angles are equal • <1 = <3 • <2 = <4 1 2 3 4 Polygon • Can be divided into triangles • Sum of interior angles in a triangle = 180 d • To find the sum of the measures of all angles in a polygon: • Multiply the number of triangles by 180° Steps to find the sum of the angles in a polygon 1. Draw polygon (geometry template) 2. Divide polygon into triangles 3. Multiply the number of triangles by 180° Rule • Number of sides a polygon has MINUS 2 = the number of triangles it can be divided into • Example: Square 4 sides – 2 = 2 triangles 2 * 180° = 360° Table Polygon Number of sides Number of sides –2 is the number of triangles that can be made Number of triangles * 180 is the sum of the angles for this polygon Triangle 3 3-2 = 1 1 * 180 = 180 Quadrangle 4 4-2 = 2 2 * 180 = 360 Pentagon 5 5-2=3 3 * 180 = 540 Hexagon 6 6-2=4 4 * 180 = 720 Transversal • A line that crosses two lines • Any two angles formed by the line and transversal are: • Vertical or supplementary angles