Download presentation
Presentation is loading. Please wait.
1
3.3, 3.6 & 3.7 Parallel and Perpendicular lines
7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal
2
What are the characteristics of parallel lines and perpendicular lines?
Slopes are the same Different y-intercept Perpendicular Lines: Slopes are opposite-reciprocal Y-intercept doesn’t matter
3
Parallel Theorem 1 If two lines are parallel to the same line, then they are parallel to each other Ex: If a//b and b//c, then a//c
4
Parallel Theorem 2 In a plane, if two lines are perpendicular to the same line, then they are parallel to each other Ex: Shown on interwrite
5
Parallel Theorem 3 In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other Ex: Shown on interwrite
6
Practice What is the relationship between line a and line d?
7
Short Assignment Pg 144 #14-21
8
Reviewing Graphing Parallel and Perpendicular lines
Slope-intercept form Standard form Point-slope form
9
Slope-intercept form M= slope B= y-intercept
10
Graphing using slope-intercept form
13
Standard Form Uses x and y intercept to find 2 points X-intercept
When y=0 (# , 0) Y-intercept When x=0 (0 , #)
16
Point-Slope form
17
Finding Equation using 2 points
(0,5) (5,8)
18
(8,10) (-4,2)
19
(2,-6) slope -9
20
Assignment Pg 169 #2, 4, 6, 8, 18, 20, 24, 26
21
Are these lines parallel, perpendicular or intersecting?
Y=2x-5 Y=2x
22
Are these lines parallel, perpendicular or intersecting?
23
Are these lines parallel, perpendicular or intersecting?
3x+4y=12 6x+8y=24
24
Are these lines parallel, perpendicular or intersecting?
Y-7x=6 Y+7x=8
25
Are these lines parallel, perpendicular or intersecting?
(0,-2)(4,-4) and (4,1)(1,-5)
26
Are these lines parallel, perpendicular or intersecting?
(0,3)(4,1) and (-6,1)(0,-2)
27
Assignment Pg 177 #4, 8, 10, 12, 16, 20
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.