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Define Parallel Lines

Define Parallel Lines . Coplanar lines that do not intersect. Define Skew Lines. Lines that do not intersect and are not coplanar. What angles are marked?. Corresponding Angles. What angles are marked?. Alternate Interior Angles. What angles are marked?. Consecutive Interior Angles.

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Define Parallel Lines

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  1. Define Parallel Lines Coplanar lines that do not intersect.

  2. Define Skew Lines Lines that do not intersect and are not coplanar.

  3. What angles are marked? Corresponding Angles

  4. What angles are marked? Alternate Interior Angles

  5. What angles are marked? Consecutive Interior Angles

  6. What angles are marked? Alternate Exterior Angles

  7. What is the Parallel Postulate? If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

  8. What is the Perpendicular Postulate? If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

  9. Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

  10. Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

  11. Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

  12. Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

  13. Corresponding Angles Converse If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel.

  14. Alternate Interior Angles Converse If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

  15. Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

  16. Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.

  17. Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other.

  18. What is the slope equation?

  19. Slopes of parallel lines In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope.

  20. Slopes of perpendicular lines In a coordinate plane, two nonvertical lines are perpendicular if and only if, the product of their slopes is –1.

  21. Slope-intercept form y = mx + b

  22. Standard Form Ax + By = C A, B, and C are integers A > 0

  23. Different slopes Line that is rising from left to right Slope is positive Horizontal line Slope is zero Vertical Line Slope is undefined Line that is falling from left to right Slope is negative

  24. If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

  25. If two lines are perpendicular, then they intersect to form four right angles.

  26. If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

  27. Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

  28. Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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