Name: _____________________________________________________________ CHAPTER 3 HOMEWORK Day Section 3.1 Pages Worksheet Assignment Worksheet (in class) 3.2 120-124 # 2, 4 - 6, 9 - 13, 15 - 17, 23 3.3 127-130 # 1, 2, 5, 6, 7, 9, 14, 16, 19, 23 1 2 Period: ________________ Geometry 2010-2011 Definitions & Properties Done Triangle: union of three segments which intersect at their (pairwise) endpoints. Congruent: same size and shape. Congruent triangles: all pairs of corresponding parts are congruent. (name the triangles in order of the correspondence of vertices) Rotate, slide, flip Reflexive Property: (or any name) Included: the side in common with two angles or the angle made from two sides. SSS Postulate: If two triangles correspond such that all three corresponding pairs of side are congruent, the triangles are congruent. SAS Postulate: If two triangles correspond such that two sides and the included angle of one triangle are congruent to the corresponding parts of the other, the triangles are congruent. ASA Postulate: If two triangles correspond such that two angles and the included side of one triangle are congruent to the corresponding parts of the other, the triangles are congruent. By the definition of congruent triangles, if two triangles are congruent, all corresponding sides are congruent CPCTC: Corresponding parts of congruent triangles are congruent. (This is the definition of congruent triangles.) Circle: all point the same distance from a given point (the center). The center is not part of the circle. Radius: a segment from the center to the circle to a point on the circle. Area: Circumference: Thm 19: All radii of a circle are congruent. CHAPTER 3 HOMEWORK Day Section 3 3.4 Pages 135-137 Assignment # 1, 2, 4-8, 11 139-141 # 1, 3, 5, 7, 11 Special Schedule 3.5 4 Special Schedule 3.6 144-147 # 1 – 3, 5, 6, 9 -12 3.7 152-155 # 1, 3 - 4, 6, 10, 11, 12, 16 3.8 158-160 # 1, 3, 6, 8, 15 3.Rev 3.Test 162-164 #1-5, 7, 9, 10 & Study Guide Tentative Date: 5 6 7 8 Definitions & Properties Done Median: A line segment from a vertex of a triangle to the midpoint of the opposite side,. Altitude: A line segment from a vertex of a triangle perpendicular to the opposite (maybe extended) side. Auxiliary lines: Two points determine a line. (Exactly one line, segment or ray can be drawn between any two points on a diagram) Reflexive Property: 3rd & 4th ~ Oct 26th Triangles scalene: no two sides are congruent; to prove, order the measures of the sides isosceles: at least two sides are congruent; base and legs equilateral: all sides are congruent equiangular: all angles are congruent acute: all angles are acute right: one angle is right; hypotenuse and legs obtuse: one angle is obtuse Theorem 20: Base angles of an isosceles triangle are congruent (opposite angles are ). Theorem 21: If two angles of a triangle are congruent, it is isosceles (opposite sides are ) Contrapositives are helpful to determine that the smaller the angle, the smaller the opposite side. Hypotenuse Leg Postulate: If two right triangles have corresponding hypotenuses and a pair of corresponding legs congruent, the triangles are congruent.