1.5: Parallel and Perpendicular Lines

Slides:



Advertisements
Similar presentations
Bellringer.
Advertisements

Parallel and Perpendicular Lines
Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line?
Objective - To write equations of parallel and perpendicular lines. Graph the following on the coordinate plane. x y Parallel lines have the same slope.
Section 3-6 Slope of Parallel and Perpendicular Lines SPI 22A: determine the equation of a line parallel or perpendicular to a given Objectives: Relate.
7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.
Lesson 6.5 Parallel and Perpendicular Lines
Unit 1 Basics of Geometry Linear Functions.
Parallel & Perpendicular Lines. Parallel and Perpendicular Lines The two lines shown below are parallel (never intersect). Identify the slope of each.
Section 3.1 Parallel and Perpendicular Lines. MAP TAP Parallel and Perpendicular Lines 2 Parallel Lines – lie on same plane and never intersect.
Warm-Up On the same coordinate plane… ▫Graph the equation y=2x +3 ▫Graph the equation y=2x ▫Graph the equation y= - ½x + 1 What do you notice about the.
5.7 Parallel and Perpendicular Lines
13.3 Parallel and Perpendicular Lines. Parallel Lines Coplanar lines that do not intersect.
Parallel, Perpendicular, and Oblique Lines
Perpendicular Lines Linear Equations.
Parallel Lines Lines are parallel if they have the same slope.
CHAPTER 3 Graphs of Liner Equations Slide 2Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. 3.1Graphs and Applications of Linear Equations 3.2More.
Objective - To write equations of parallel and perpendicular lines.
Mrs. Rivas. International Studies Charter School.
8-7: Parallel and Perpendicular Lines Mr. Gallo. Parallel Lines  If two non-vertical lines have the _________ ________, then the lines are ___________.
Slopes of Parallel and Perpendicular Lines Objectives: 1. Discover the relationships between the slopes of parallel lines and perpendicular lines.
Day Problems Graph each equation.
Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target: Students can prove the slope criteria for parallel and perpendicular.
Geometry: Parallel and Perpendicular Lines
Parallel and Perpendicular Lines Section 6-6. Question What does parallel mean? Are there examples in your life that you see parallel lines? Are there.
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
Lesson 5.5 OBJ: To write equations of parallel and perpendicular lines.
3.6 Parallel Lines in the Coordinate Plane
Honors Geometry Section 3.8 Lines in the Coordinate Plane.
Warm Up Given: (3, -5) and (-2, 1) on a line. Find each of the following: 1.Slope of the line 2.Point-Slope equation of the line 3.Slope-Intercept equation.
5.6 Parallel and Perpendicular Lines
Slope and Parallel Lines Sections 4.5 & 4.6. Definitions A plane is a surface such that if any two points on the surface are connected by a line, all.
Parallel/ Perpendicular Lines Section 2.4. If a line is written in “y=mx+b” form, then the slope of the line is the “m” value. If lines have the same.
Algebra 1 Notes Lesson 5-6: Parallel and Perpendicular Lines.
5-6 PARALLEL AND PERPENDICULAR LINES. Graph and on the same coordinate plane. Parallel Lines: lines in the same plane that never intersect Non-vertical.
Equations of Lines in the Coordinate Plane and Slopes of Parallel and Perpendicular Lines Objective: Students will find the slopes of lines and.
Warm up Recall the slope formula:
I can determine when lines are parallel and write equations of parallel lines.
Section 6.5: Parallel and Perpendicular Lines Objectives: Determine whether lines are parallel Determine whether lines are perpendicular Write equations.
Section 6.6 Parallel and Perpendicular Lines. Definitions Lines that lie in the same plane and never intersect are called parallel lines. All vertical.
4.5A Find and Use Slopes of Lines. Recall: The slope of a non-vertical line is the ratio of vertical change (rise) to horizontal change (run) between.
CHAPTER 3 Lines in a Plane. Exploring Lines and Planes Parallel lines Perpendicular lines Oblique lines Skew lines Parallel planes Perpendicular planes.
Section 3.1 Exploring Lines and Planes. Parallel Lines Are coplanar lines that do not intersect. Parallel Lines have the same slope. Intersecting Lines-
5.6 Parallel and Perpendicular Equations
Warm Up The warm up worksheet is on the podium. Do the odds only. Answers will be up shortly. DO NOT LOSE THIS WORKSHEET!!! After the warm up, begin the.
Slopes of Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Parallel Lines: SLOPES ARE THE SAME!!
PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane
Parallel and Perpendicular Lines
TEST 1-4 REVIEW 381 Algebra.
5-6 Parallel and Perpendicular Lines
The Point-Slope Form of the Equation of a Line
Slopes of Parallel and Perpendicular Lines
PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane
Warm up Write an equation given the following information.
Warm up Write an equation given the following info:
Warm up Write an equation given the following info:
3.4 Find and Use Slopes of Lines
Parallel and Perpendicular Lines
TEST 1-4 REVIEW 381 Algebra.
PERPENDICULAR LINES.
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
Warm Up Write the Standard Form equation of
Warm Up x – 5 = 0 Write the Standard Form equation of
Warm-Up 1.) Using the point slope formula find the equation of a line with slope -2 , passing through the point (1, 3) 2.) Graph the line y = 3x + 4.
PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane (coplanar) Equations: Same Slopes Different y-intercepts.
Presentation transcript:

1.5: Parallel and Perpendicular Lines WELCOME 1.5: Parallel and Perpendicular Lines

Chapter 1 Section 5

Perpendicular / Parallel Perpendicular Lines: Lines that intersect to form a right (90°) angle m f “m is Perpendicular to f ” Parallel Lines: Coplanar lines that never intersect p ‖ m “p & m are parallel” p f m m

Parallel Slope In a coordinate plane, two nonvertical lines are parallel if they have the same slope

Perpendicular Slope In a coordinate plane, two nonvertical lines are perpendicular if they have opposite reciprocal slopes (Slopes are opposite & flipped!!)