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SOL Review • Print out Geometry 2014 SOL Test. • Follow along with slides and complete SOL questions when prompted. • Follow up with further review questions in class. SOL Review Section 1 – Basics of Geometry Part 1: Venn Diagrams Venn Diagrams Practice SOL Question Part 2: Compass Constructions Perpendicular Bisectors • Perpendicular lines: • Line Bisector: Construct a Perpendicular Bisector A B Practice • Construct a perpendicular bisector. A B SOL Question #2 Angle Bisector • Angle Bisector: Construct Angle Bisector A B Practice • Construct an angle bisector: SOL Question #3 Construct a Congruent Angle SOL Question #4 Identifying types of Compass Constructions • Angle Bisector: • Perpendicular Bisector: • Perpendicular line: • Parallel line: SOL Question #5 Part 3: Logical Reasoning Symbolic Logic • Hypothesis: • Conclusion: • If – then statement: • Not: • Therefore: Practice Let p represent: Two angles are supplementary angles. Let q represent: The angles add up to 180o. What is the symbolic representation of the following statement? If two angles do not add up to 180o, then they are not supplementary angles. SOL Question #6 Conditional, Converse, Inverse, and Contrapositive Conditional: Converse: Inverse: Contrapositive: Practice Conditional: Converse: If a polygon has three sides, then the polygon is a triangle. Inverse: Contrapositive: SOL Question #7 Law of Syllogism • If p, then q. If q, then r. • Law of Syllogism: SOL Question #8 Part 4: Transversals Angles formed by Transversals SOL Question #9 SOL Question #10 Proving lines Parallel a m n b SOL Question #11 Calculating Angles a b c r m s n SOL Question #12 SOL Question #13 Part 5: Coordinate Geometry Slope • Slope: • Ex: SOL Question #14 Distance • Distance: • Ex: SOL Question #15 Parallel Points • Slope: • Generating a new point: SOL Question #16 Answers to SOL Questions 1) Answers to SOL Questions 2) B 3) A 4) A 5) D 6) A 7) A 8) C 9) A 10) C 11) B 12) 43o 13) D 14) C 15) D 16) (2, -5) or (6, -7)