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Name: _____________________________________________________________ CHAPTERS 6 & 7 HOMEWORK Period: ________________ Honors Geometry 2010-2011 CHAPTER 6 Day Section 6.1 Pages 272 – 275 Assignment # 2, 4 (sketch), 5, 7, 8, 14-16 14: Emily Wang 16: Emily Wohrer 1 6.2 278 – 281 # 1, 2, 3, 5, 6, 7, 10 7: Jamie 10: Heather Definitions & Properties Done Plane: for every two points on the surface, their line is on the surface. Postulate: three non-collinear points determine a plane. Thm: a line and a point not on the line determine a plane. Thm: two intersecting lines determine a plane. Thm: two parallel lines determine a plane. Postulate: a line not in a plane intersects the plane in exactly one point. Postulate: two planes intersect in exactly one line. Def: A line is perpendicular to a plane iff it is perpendicular to every line in the plane through the foot. Thm: If a line is perpendicular to two lines in plane, then it is perpendicular to the plane CHAPTER 7 Day Section 7.1 Pages 298 – 301 Assignment # 1 – 12, 13, 14, 15, 16 13: Jackie 14: Alisa 2 7.2 304 – 306 3 # 1 – 9, 14 7: Megan 9: Alexis 7.3 309 – 313 # 1 – 8, 10ace, 11, 13a, 14, 17, 20, 23 20: Anika 23: Adria 4 Definitions & Properties Thm: The sum of the angles in a triangle is 180˚. Def: Exterior angle – adjacent and supplementary to an interior angle. Thm: The measure of an exterior angle is equal to the sum of the two remote interior angles. Mid-line Thm: A segment joining the midpoints of two sides of a triangle is parallel to the third and 1/2 the measure Thm: If two pairs of angles of corresponding triangles are congruent, then the third angles are congruent (No Choice). Thm: AAS (two angles and NON-included side). Polygons: Sides Name Sides Name 3 triangle 7 heptagon 4 quadrilateral 8 octagon 5 pentagon 9 nonagon 6 hexagon 10 decagon 12 dodecagon Thm: The sum of the interior angles of an n-gon is: S (n 2) 180 Thm: The sum of the exterior angles of an n-gon is: S 360 Thm: The number of diagonals of an n-gon is: d n(n 3) 2 Done CHAPTER 7 Day Section 7.4 Pages 316 – 318 Assignment # 1 – 6, 10 – 14, 17 14: Melissa 17: Olivia 5 Definitions & Properties Def: A regular polygon is both equilateral and equiangular. Thm: The sum of the exterior angles of an n-gon is: S 360 Thm: The measure of an exterior angle of a regular n-gon is: Ext 360 n Thm: The measure of an interior angle of a regular n-gon is: Int 180 360 n 6 7 6.Rev 7.Rev 6&7 Test 288 – 290 320 – 323 # 1, 6 # 1, 5, 9, 12, 13, 15 Ch 6 & 7 Study Guide Date: 7th: Jan 24th (Monday) Done