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Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio 45202 Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button or press the Space Bar to display the answers. Lesson 3-1 Parallel Lines and Transversals Lesson 3-2 Angles and Parallel Lines Lesson 3-3 Slopes of Lines Lesson 3-4 Equations of Lines Lesson 3-5 Proving Lines Parallel Lesson 3-6 Perpendiculars and Distance Example 1 Identify Parallel Lines Example 2 Solve Problems with Parallel Lines OBJECTIVE: To recognize angle conditions that occur with parallel lines (2.9.8E) (M8.C.1.1.3) Determine which lines, if any, are parallel. consecutive interior angles are supplementary. So, consecutive interior angles are not supplementary. So, c is not parallel to a or b. Answer: Determine which lines, if any, are parallel. Answer: ALGEBRA Find x and mZYN so that Explore From the figure, you know that and You also know that are alternate exterior angles. Plan For line PQ to be parallel to MN, the alternate exterior angles must be congruent. Substitute the given angle measures into this equation and solve for x. Once you know the value of x, use substitution to find Solve Alternate exterior angles Substitution Subtract 7x from each side. Add 25 to each side. Divide each side by 4. Original equation Simplify. Examine Verify the angle measure by using the value of x to find Since Answer: ALGEBRA Find x and mGBA so that Answer: End of Custom Shows WARNING! Do Not Remove This slide is intentionally blank and is set to auto-advance to end custom shows and return to the main presentation.