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Geometry Unit 3 Review

Geometry Unit 3 Review. Parallel and Perpendicular Lines. Standard 15: Identify parallel, skew, and perpendicular lines and give real- life examples of each. What are parallel lines? Give 3 real-life examples. What are skew lines? Give 3 real- life examples.

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Geometry Unit 3 Review

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  1. Geometry Unit 3 Review Parallel and Perpendicular Lines

  2. Standard 15: Identify parallel, skew, and perpendicular lines and give real- life examples of each. • What are parallel lines? Give 3 real-life examples. • What are skew lines? Give 3 real- life examples. • What are perpendicular lines? Give 3 real-life examples.

  3. Standard 16: Identify angles created when a transversal cuts two parallel lines and identify the relationships between those angles. . • Name a pair of angles which satisfy the following relationships: • Alternate Exterior Angles • Alternate Interior Angles • Vertical Angles • Corresponding Angles • Consecutive Interior Angles

  4. Standard 17: Use geometric constructions to demonstrate the parallel and perpendicular line postulates. • Create a line parallel to a given line through a point. • Create a line perpendicular to a given line through a point. • http://www.mathsisfun.com/geometry/constructions.html

  5. Standard 18: Identify and use converse postulates and theorems to prove lines parallel. • What do the following postulates state? • Converse of corresponding angles postulate • Converse of alternate interior angles postulate • Converse of alternate exterior angles postulate • Converse of consecutive interior angles postulate • Parallel lines property

  6. Standard 19: Compute the slope of a line in the coordinate plane. • Find the slope of the line between the two points: • (4, 12) and (8, 24) • Find the slope of the line with the given equation: • Y = - 34x + 1778090

  7. Standard 20: Identify the relationship between slopes of parallel and perpendicular lines. • What is the relationship between slopes of parallel lines? • What is the relationship between slopes of perpendicular lines?

  8. Standard 21: Write equations of lines in slope-intercept form. • Write an equation given the following circumstances. • If slope is – 2 and y-intercept is -1. • If slope is 3 and there is a point (1, 5) • If there are two points (3, 6) and (2, 0)

  9. Standard 22: Determine if lines are parallel, perpendicular or neither from their equations. • Y = 2x + 6 and y = -2x – 4 • 2y = 12x + 10 and y = -1/6x – 15 • Y = 3x – 10 and 3y = 9x + 1

  10. Standard 23: Write equations in standard form. • Did not cover will not be on the test.

  11. Standard 24: Identify and use perpendicular transversals to prove lines parallel. • What can I tell from the given diagram?

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