03.05 Parallel and Perpendicular Lines + mt.notebook · 03.05 Parallel and Perpendicular Lines +...
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03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016 Warm Ups New seats!
Transcript of 03.05 Parallel and Perpendicular Lines + mt.notebook · 03.05 Parallel and Perpendicular Lines +...
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Warm Ups
New seats!
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Learning Objectives
I can identify parallel and perpendicular lines based on their slopes.
I can write the equation of a perpendicular line of a line through a given point.
I can write the equation of a parallel line given a point not on the line.
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Success Criteria
Given the following coordinates
A(1, -3) B(3, -6) C(4, -1) D(6, 4)
Find the slope of:
AB AC CD BD
Which of the following segments are parallel and which are perpendicular?
Slope Review
Recall the following formula:
Given (x1, y1) and (x2, y2)
Slope:
*not in your notes
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Equations of Lines
3 Forms of a Line
Standard:
Slope-Intercept:
Point Slope:+y1 +y1
Parallel and Perpendicular
How do we know if lines are parallel?
How do we know if lines are perpendicular?
Discuss with your neighbors...
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
How do we know if lines are parallel?
How do we know if lines are perpendicular?
Discuss with your neighbors...
The slopes are identical
Parallel and Perpendicular
How do we know if lines are parallel?
How do we know if lines are perpendicular?
Discuss with your neighbors...
The slopes are identical
The slopes are opposite recipricals
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
y = 2x - 5 y = -1/3x + 2different yint.
identical slope
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
y = 2x - 5 y = -1/3x + 2
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
y = 2x - 521 y = -1/3x + 2
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
y = 2x - 521 y = -1/3x + 2
y = 2x - 521
Parallel and Perpendicular
1. Write the slope of the line parallel and perpendicular to each line
y = 2x - 1
Parallel:
Perpendicular:
y = -1/3x + 3
y = 2x - 5 y = -1/3x + 2
y = 2x - 5
21
21 y = 3x + 2
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
W
XY
Z
2. Determine whether line WX and line YZ are perpendicular
(-3,5)
(-4,3)
(1,7)
(2,2)
Parallel and Perpendicular
W
XY
Z
2. Determine whether line WX and line YZ are perpendicular
(-3,5)
(-4,3)
(1,7)
(2,2)
x1 y1
x2 y2
WX
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
W
XY
Z
2. Determine whether line WX and line YZ are perpendicular
(-3,5)
(-4,3)
(1,7)
(2,2)
x1 y1
x2 y2
WX= 2 52 3
35=
Parallel and Perpendicular
W
XY
Z
2. Determine whether line WX and line YZ are perpendicular
(-3,5)
(-4,3)
(1,7)
(2,2)x1 y1
x2y2
WX35
YZ
mWX =
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
W
XY
Z
2. Determine whether line WX and line YZ are perpendicular
(-3,5)
(-4,3)
(1,7)
(2,2)x1 y1
x2y2
WX35
= 47 31 4 5=
YZ
mWX =
Parallel and Perpendicular
3. Write the equation of the line that is parallel to the line y = -2x + 5 and goes through the point (3, 4)
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
3. Write the equation of the line that is parallel to the line y = -2x + 5 and goes through the point (3, 4)
Parallel and Perpendicular
3. Write the equation of the line that is parallel to the line y = -2x + 5 and goes through the point (3, 4)
-2 34
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
4. Write the equation of the line that is perpendicular to the line y = -2x + 5 and goes through the point (3, 4)
Parallel and Perpendicular
4. Write the equation of the line that is perpendicular to the line y = -2x + 5 and goes through the point (3, 4)
2 34 1
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Parallel and Perpendicular
5. Write the equation of the line that is parallel to the line y - 2 = 1/4(x + 2) and goes through the point (-2, 8)
Success Criteria
Given the following coordinates
A(1, -3) B(3, -6) C(4, -1) D(6, 4)
Find the slope of:
AB AC CD BD
Which of the following segments are parallel and which are perpendicular?
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Success Criteria
Given the following coordinates
A(1, -3) B(3, -6) C(4, -1) D(6, 4)
Find the slope of:
AB AC CD BD
Which of the following segments are parallel and which are perpendicular?
32= 10
3=52=2
3=
Success Criteria
Given the following coordinates
A(1, -3) B(3, -6) C(4, -1) D(6, 4)
Find the slope of:
AB AC CD BD
Which of the following segments are parallel and which are perpendicular?
32= 10
3=52=2
3=
AB & AC are perpendicular, no parallel
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
Guided Practice
Short quiz-then work on HW
Finish through pages 16 &17
03.05 Parallel and Perpendicular Lines + mt.notebook October 18, 2016
