Daily Warm Up Maintaining Mathematical Proficiency Worksheet Equations

Equations of Parallel & Perpendicular Lines Notes 3. 5 Goals: • Use slope to

Example 1. Partitioning a Line Segment Find the coordinates of point P along the

Core Vocabulary Directed Line Segment A segment that represents moving from point A to

Core Concept Slopes of Parallel Lines Theorem 3. 13 In a coordinate plane, two

Core Concept Slopes of Perpendicular Lines Theorem 3. 13 In a coordinate plane, two

Example 2. Identifying Parallel & Perpendicular Lines Determine which of the lines are parallel

Example 3. Writing an Equation of a Parallel Line Write an equation of the

Example 4. Writing an Equation of a Perpendicular Line Write an equation of the

Example 5. Finding the Distance from a Point to a Line Find the distance

Practice • Extra Practice – In Class Worksheet • Hw #18– Big Ideas TB

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Daily Warm Up Maintaining Mathematical Proficiency Worksheet

Equations of Parallel & Perpendicular Lines Notes 3. 5 Goals: • Use slope to partition directed line segments • Identify parallel & perpendicular lines • Write equations of parallel & perpendicular lines • Use slope to find the distance from a point to a line.

Example 1. Partitioning a Line Segment Find the coordinates of point P along the directed line segment AB so that the ratios of AP to PB is 3 to 2.

Core Vocabulary Directed Line Segment A segment that represents moving from point A to point B. Simply put…in my own words Directed Line Segment AB means start at point A and trace the line ending at point B

Example 1. Partitioning a Line Segment Find the coordinates of point P along the directed line segment AB so that the ratios of AP to PB is 3 to 2.

Core Concept Slopes of Parallel Lines Theorem 3. 13 In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. any two vertical lines are parallel Given: So by the slopes of parallel lines theorem we can conclude…

Core Concept Slopes of Perpendicular Lines Theorem 3. 13 In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is – 1. a horizontal line & a vertical line are always perpendicular Given: So by the slopes of parallel lines theorem we can conclude…

Example 2. Identifying Parallel & Perpendicular Lines Determine which of the lines are parallel & which of the lines are perpendicular.

Example 3. Writing an Equation of a Parallel Line Write an equation of the line passing through the point (– 1, 1) that is parallel to the line y = 2 x – 3

Example 4. Writing an Equation of a Perpendicular Line Write an equation of the line passing through the point (2, 3) that is perpendicular to the line 2 x + y = 2

Example 5. Finding the Distance from a Point to a Line Find the distance from the point (1, 0) to the line y = –x + 3.

Practice • Extra Practice – In Class Worksheet • Hw #18– Big Ideas TB Pg. 1, 2, 3 -7 odd, 8, 12 -24 even, 30, 43