SOL G.2 The student will use the relationships between angles formed by two cut by a transversal to a) determine whether two lines are parallel; b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and c) solve real-world problems involving angles formed when parallel lines are cut by a transversal. HINTS AND NOTES PRACTICE G.2 To prove that 2 lines are Using the information in the diagram, which is true? parallel, you must be able to prove: -corresponding angles are congruent OR -alternate interior angles are congruent A OR B -alternate exterior angles are C congruent D OR -consecutive interior angles are Line is parallel to line if a b supplementary OR -both lines are perpendicular to the same line OR -both lines are parallel to the same line OR -the two lines have the same slope. A B C Slope = D Parallel have the same – identical slope Perpendicular have – negative reciprocal slopes What value for will show that lines and are x l m parallel?
SOL G.2 The student will use the relationships between angles formed by two cut by a transversal to a) determine whether two lines are parallel; b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and c) solve real-world problems involving angles formed when parallel lines are cut by a transversal. HINTS AND NOTES To prove that 2 lines are parallel, you must be able to prove: -corresponding angles are congruent OR -alternate interior angles are congruent OR -alternate exterior angles are congruent OR -consecutive interior angles are supplementary OR -both lines are perpendicular to the same line OR -both lines are parallel to the same line OR -the two lines have the same slope. Slope = Parallel – have the same identical slope Perpendicular – have negative reciprocal slopes PRACTICE G.2 Using the information in the diagram, which is true? A B C D Line a is parallel to line b if A B C D What value for x will show that lines l and m are parallel?
York-Geo_SOLReview.docx