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Transcript
GEOMETRY CHAPTER 4: Triangle Congruence Assignment Listing Objectives Students will be able to classify triangles by their angle measures and side lengths. SWBAT use triangle classification to find angle measures and side lengths. SWBAT find the measures of interior and exterior angles of triangles. SWBAT apply theorems about the interior and exterior angles of triangles. Topics 4-1 Classifying Triangles Acute triangle, equiangular triangle, right triangle, obtuse triangle, equilateral triangle, isosceles triangle, scalene triangle. SWBAT use properties of congruent triangles. SWBAT prove triangles congruent by using the definition of congruence. SWBAT apply SSS and SAS to construct triangles and to solve problems. SWBAT prove triangles congruent by using SSS and SAS. SWBAT apply ASA, AAS, and HL to construct triangles and to solve problems. SWBAT prove triangles congruent by using ASA, AAS, and HL. 4-3 Congruent Triangles Corresponding angles, corresponding sides, congruent polygons SWBAT use CPCTC to prove parts of triangles are congruent. 4-6 Triangle Congruence: CPCTC CPCTC SWBAT position figures in the coordinate plane for use in coordinate proofs. SWBAT prove geometric concepts by using coordinate proof. SWBAT prove theorems about isosceles and equilateral triangles. SWBAT apply properties of isosceles and equilateral triangles. 4-7 Introduction to Coordinate Proof Coordinate proof 4-2 Angle Relationships in Triangles Auxiliary line, corollary, interior, exterior, interior angle, exterior angle, remote interior angle. Homework Pages 219-221 1-22, 33-37, 40-44, 49, 50 Board Points: 11,18,33,49 Pages 227-229 9-13, 19-24, 26, 28, 29-32, 40-44, 5157 odds Board Points: 20, 22, 23, 26, 28 4-4 Triangle Congruence: SSS and SAS Triangle rigidity, included angle 4-5 Triangle Congruence: ASA, AAS, and HL Included side Pages 234-236 1-12, 20-30 evens, 31-34, 38-45 Board Points: 10,12,20,24,28 Pages 245-247 8-22, 25, 28-31, 378-43 odds GRAPH PAPER Board Points: 10,20,25,30 Pages 256-258 2-13, 16, 19, 20, 22, 24, 26-30, 35,37,39 Board Points: 12, 16, 22, 24 Pages 262-265 7-20, 24-28, 33-37 Board Points: 8, 10, 14, 20 Pages 270-272 TBD Board Points: 4-8 Isosceles and Equilateral Triangles Legs of an isosceles triangle, vertex angle, base, base angles Pages 276-279 12-29, 42-44, 48-54 Board Points: 12, 20, 28, 48, 50