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Level one Assessment Schedule for 2005 Practice of Achievement Standard 90153: Geometry Quilt Achievement with excellence Achievement with merit Achievemen t Criteria Use geometric reasoning to solve problems. Use, and state, geometric reasons in solving problems. No. One Code A GBA = 70 Two A ABD = 48o Three Four A A/M EDC = 64o CDG = 57o GCD = 64o CGJ = 121o alt angles, parallel lines vertically opposite angles ext angle equals sum of int opp ACB = 32o ABC = 116o ADC = 64o base angles, isosceles triangle sum of interior angles of triangle opposite angles, cyclic quad Five Six Solve an extended geometrical problem A/M A/M Seven A/M Evidence o Sufficiency 3 of Code A No alternative No Alternative Triangle ACI isosceles similar with ACD AID = 52o base angle isosceles triangle FIH = 52o corresp angles, parallel lines o CIF = 76 angles on a line EHF + FHG = 90o tangent to radius FHG = EHF - 90o (1) HFB + BFE = 90o angle in semi-circle HFB+ BFE+ EHF+HEF = 180o sum of int angles in triangle So EHF+HEF = 90o HBF = HEF angles on same arc So EHF+HBF = 90o HBF = EHF - 90o (2) Therefore using (1) and (2) HBF = FHG E Judgement No alternative Throughout Merit: - allow other valid chains of reasoning. - reasons may be combined into one statement. - A is for correct angle without chain of reasoning Achievement Plus Allow other valid proofs. Merit Plus Code E A is for correct chain of reasoning that uses numerical values M is for chain of reasoning that uses numeric values with at most one reason missing. 2 of Code M or 3 of code M