Parallel and Perpendicular Lines

Slides:



Advertisements
Similar presentations
Hook If you were to slice a cereal box with a geometric plane as shown, what shape would result? Coach’s Commentary I chose this example because it gives.
Advertisements

Study Guide. a) Two angles multiplied together to equal 90 b) Two angles added together to equal 180 c) Two angles added together to equal 90 d) Two angles.
What you see when you slice.
Objective: Use slope-intercept form and standard form to graph equations. 2.4 Quick Graphs of Linear Equations.
Parallel and Perpendicular Lines
7.8 Parallel and Perpendicular Lines Standard 8.0: Understand the concepts of parallel and perpendicular lines and how their slopes are related.
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.
Parallel, Perpendicular, and Oblique Lines
Basic Facts about Parallel Planes
Perpendicular segment parallel Word Splash intersecting point.
Parallel Lines Lines are parallel if they have the same slope.
6.3 Basic Facts About Parallel Planes Objective: recognize lines parallel to planes and skew lines Use properties relating parallel lines relating parallel.
Warm Up Give the complement of each angle ° 2. 64° 3. 15° ° 10° 26° 75° 42°
6.3 Parallel Plane Facts Objectives: 1.Recognize lines parallel to planes, parallel lines and skew lines 2.Use properties relating parallel planes and.
Points - Lines - Planes - Geometry and Measurement.
Suzanne Chludzinski ILS The Basic Elements of Geometry
Honors Geometry.  How many lines can be passed through one point?  How many planes can be passed through one point?  How many planes can be passed.
Warm-Up 3/3/09 Graph the following equations 1. y = -2/3x + 2 m = ___ b = ___ 2. y = -2/3x – 3 m = ___ b = ___ What can you conclude about parallel lines.
 Parallel Lines = Lines in the same plane that never intersect.  Review:  Slope-Intercept form: y = mx+b.
Lesson 01 – Points, Lines, & Planes
Geometry By: Daanan Hall Points Example: C A point is an exact location. This is an example of a point.
Hosted by Mrs. Smyth 1pt 2pt 4pt 3pt 4pt LinesAnglesMore LinesAngles Too 3pt 2pt 4pt 2pt 1pt 5pt 1pt.
By: Student #2. Four properties  Equidistant  Have same slope  Do no intersect  Lies on the same plane.
Geometry Review 4 th Grade Math 4.14, 4.15, 4.16 W.A. Taylor
Parallel and Perpendicular Lines
Warm-Up 5 minutes 1. Graph the line y = 3x + 4.
1.Name the relationship between  3 and  m  3 = ____ 3. Name the relationship between  9 and  m  10 = ____ Warm Up: l.
Write Equations of Parallel and Perpendicular Lines
VOCABULARY UNIT 3. PARALLEL LINES Lines on the same plane that never intersect.
Parallel Lines and Transversals. Congruent Angles Angles that have the same measurement.
CHAPTER 3 Lines in a Plane. Exploring Lines and Planes Parallel lines Perpendicular lines Oblique lines Skew lines Parallel planes Perpendicular planes.
Unit 3 Definitions. Parallel Lines Coplanar lines that do not intersect are called parallel. Segments and rays contained within parallel lines are also.
GEOMETRY 4.8A Identify and describe right, acute, and obtuse angles.
Point the Ray. Key Question: How are lines, line segments, and rays different? Learning Goals: The student will: Model and compare parallel and intersecting.
Lines Parallel Lines Intersecting Lines Perpendicular Lines Resources Examples.
Points, Lines and Rays G4.4M.C1.PO1 I can draw and describe the relationships between points, lines, line segments, rays, and angles including parallelism.
ines and Angles By: Adrienne Hodge Arkansas State University Site 2012.
1.4 Entry Task Trace your bisected angles onto patty paper. Fold your angle along the bisector you constructed. Did one ray exactly overlap the other?
Parallel & Perpendicular Lines Parallel Lines: – Describes lines in the same plane that never cross or intersect. They are marked using arrows. Perpendicular.
2-3C Parallel and Perpendicular Lines 2-3C Parallel and Perpendicular Lines Objectives: How do you know if slopes are parallel or perpendicular? What are.
Extended Work on 3D Lines and Planes. Intersection of a Line and a Plane Find the point of intersection between the line and the plane Answer: (2, -3,
3.1 Identify Pairs of Lines and Angles. Parallel Lines Have the same slope Can be contained in the same plane Are everywhere the same distance apart.
3.1 Lines and Angles.
Darius Bellamy Powerpoint.
Parallel and Perpendicular Lines
SEGMENTS, RAYS, PARALLEL LINES AND PLANES
Theorems about Perpendicular Lines
2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane.
Undefined Terms Plane Line Point.
Candy Land Geometry 18.1.
Intersecting and parallel lines.
Parallel and Perpendicular Lines
Parallel and Perpendicular Lines
What you see when you slice.
Lines Unit th Grade.
3.1 Lines and Angles.
TEST 1-4 REVIEW 381 Algebra.
5-6 Parallel and Perpendicular Lines
4th Grade Chinese Immersion Class Yu Laoshi
2-3C Parallel and Perpendicular Lines
1.5: Parallel and Perpendicular Lines
Today’s Lesson Determining Angle Measures when Parallel Lines Are Cut by a Transversal.
Parallel & perpendicular
Parallel and Perpendicular Lines
TEST 1-4 REVIEW 381 Algebra.
Planes, segments and rays can also be perpendicular to one another if they intersect at 90 degree angles.
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 and Perpendicular Lines
Presentation transcript:

Parallel and Perpendicular Lines

Parallel Lines in Everyday Life

Parallel Lines Parallel lines are two lines in the same plane with the same slope. They never cross even if both lines were extended infinitely in both directions Look back at our examples: What would happen if the railroad tracks ever crossed? What about if the yard lines on a football field weren’t the same distance apart at any point? Why would the even bars in gymnastics need to be parallel?

Perpendicular Lines In Everyday Life

Perpendicular Lines Perpendicular lines are two lines that intersect to form a right angle. They only intersect at one point Look back at our examples: Why is plaid perpendicular? Why are window panes perpendicular? Why may an intersection need to be a 90 degree angle?

Skew Lines Lines in the same plane that do not intersect and are not parallel. Think of ideas in which you could find this to be possible. What about if you were given a cube?

Skew Lines Notice that the two green lines will never intersect yet they are not parallel

Parallel Planes Lets consider the cube example again

Perpendicular Planes Lets consider the cube example again

Perpendicular Planes Consider if you had two pieces of paper and cut a slice in one. If they “intersected” their intersection would be a line.