Geometry: Parallel and Perpendicular Lines - PowerPoint PPT Presentation

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Geometry: Parallel and Perpendicular Lines

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Lesson 5-6 Geometry: Parallel and Perpendicular Lines Transparency 6 Click the mouse button or press the Space Bar to display the answers. Transparency 6a Objectives ... – PowerPoint PPT presentation

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Title: Geometry: Parallel and Perpendicular Lines


1
Lesson 5-6
  • Geometry Parallel and Perpendicular Lines

2
Transparency 6
Click the mouse button or press the Space Bar to
display the answers.
3
Transparency 6a
4
Objectives
  • Locate points on the coordinate plane
  • Graph points on a coordinate plane
  • Write an equation of the line that passes through
    a given point, parallel to a given line
  • Write an equation of the line that passes through
    a given point, perpendicular to a given line

5
Vocabulary
  • Coordinate plane an x-y grid with axes as
    reference lines
  • Quadrant the axes divide the coordinate plane
    into 4 regions or quadrants
  • Graph is a plot of an ordered pair (x,y) on the
    coordinate plane
  • Parallel lines lines in the same plane that
    never intersect and have the same slope
  • Perpendicular lines lines that meet to form
    right angles

6
x-y Coordinate Plane
Quadrants
Point Plotting
I
II
up 7
left 4
right 5
III
IV
down 8
(x, y) (-4, 7) (5, -8) x left or
right y up or down
7
Example 1
8
Example 1 cont
9
Example 2
Step 1 Find the slope of the given line.
10
Example 2 cont
Step 3 Use the point-slope form to find the
equation.
11
Example 2 cont
12
Example 3
13
Example 3 cont
Step 2 The slope of the given line is -5/2. So,
the slope of the line perpendicular to this line
is the opposite reciprocal of -5/2 or 2/5.
Step 3 Substitute the slope and the given point
into the point-slope form of a linear equation.
Then write the equation in slope-intercept form.
14
Summary Homework
  • Summary
  • Two nonvertical lines are parallel if they have
    the same slope
  • Two nonvertical lines are perpendicular if the
    product of their slopes is -1
  • Homework
  • Pg 296 14-40 even
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