Theorem 6.4: If two lines are crossed by a third, then the following conditions are equivalent. a) The alternate interior angles are the same size b) The corresponding angles are the same size c) The opposite interior angles are supplementary. d) The two lines are parallel. 1. top Point of intersection: Parallel Lines Gradients: 12 1 1 and 2 mm c) k 2 Equations: 2 26 xy xy Point of intersection: 10 4, 33 Gradients: 12 mm 1 and 1 Sketch the corresponding straight lines; indicate the point of intersection and gradient for line for each value of k above. Check your CAS calculator.

Section 3.1 – Properties of Parallel Lines. Section 3.2 – Review of Factoring and Systems of Equations. Section 3.3 – Proving Lines are Parallel. Section 3.4 – Types of Triangles and Theorems Involving Triangles. Section 3.5 – Constructing Parallel and Perpendicular Lines Section 3.6 - Equations of Lines . Check out my page for ... Lines: Intersecting, Perpendicular, Parallel; Parallel and Perpendicular Planes; Points, Lines, and Planes; Postulates and Theorems; Segments Midpoints and Rays; Parallel Lines Consequences of the Parallel Postulate; Testing for Parallel Lines; Angle Pairs Created with a Transversal; The Parallel Postulate; Triangles Angle Sum of a Triangle

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