Skew, Parallel and Perpendicular Lines

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

4.5 Introduction to Parallel Lines
CHAPTER 3 LINES AND ANGLES PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l | | m AB | | CD l m A B C D p
Basic Facts about Parallel Planes
Skew, Parallel and Perpendicular Lines
6.3 Basic Facts About Parallel Planes Objective: recognize lines parallel to planes and skew lines Use properties relating parallel lines relating parallel.
6.3 Parallel Plane Facts Objectives: 1.Recognize lines parallel to planes, parallel lines and skew lines 2.Use properties relating parallel planes and.
Geometry Chapter 3 Cipollone. Vocabulary Parallel lines- two lines on the same plane and do not intersect. Perpendicular lines- two lines intersect to.
Basic Geometry Concepts
Lines and Angles. PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l || m AB || CD l m A B C D.
3.1 Lines and Angles Parallel Lines –Coplanar lines that do not intersect. –The symbol || means “is parallel to.”
3-1 Lines and Angles Geometry. LINES AND ANGLES Warm Up 2) The soccer team scored 3 goals in each of their first two games, 7 goals in the next game,
Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles.
By Madhu Narayan K.V.Hebbal Bangalore Region
Section 1-1, 1-3 Symbols and Labeling. Vocabulary Geometry –Study of the set of points Space –Set of all points Collinear –Points that lie on the same.
CHAPTER 3 LINES AND ANGLES Free powerpoints at
Geometry 3.1 Big Idea: Identify pairs of lines and angles Big Idea: Identify pairs of lines and angles.
3.1 Lines and Angles Relationships between lines Identify angles formed by a transversal.
3-1 Lines and Angles. Parallel and Skew Parallel lines are coplanar lines that do not intersect. – The symbol  means “is parallel to”. Skew lines are.
Unit 6 Parallel Lines Learn about parallel line relationships Prove lines parallel Describe angle relationship in polygons.
Boyd/Usilton. Parallel and Skew Lines Parallel lines: coplanar lines that do not intersect. Skew lines: are noncoplanar, not parallel and do not intersect.
TODAY IN GEOMETRY…  STATs to Ch. 2 Test  Learning Goal: 3.1 Identify pairs of lines and angles formed by intersecting lines  Independent Practice/Return.
1.Name the relationship between  3 and  m  3 = ____ 3. Name the relationship between  9 and  m  10 = ____ Warm Up: l.
1. Please complete the next 2 sections of your SKILL BUILDER now. 2. Please have out your HOMEWORK to be stamped. 3. Please have out your EXTERIOR ANGLE.
GEOMETRY 3-1 Lines and Angles. Vocabulary Examples Identify each of the following. a. a pair of parallel segments b. a pair of skew segments d. a pair.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
GEOMETRY 3.1. Parallel Lines and Transversals. Do Now:
3.1 and 3.2 Parallel lines and transversals
LINE AND ANGLE RELATIONSHIPS Quiz Review. TYPES OF ANGLES Acute Angles have measures less than 90°. Right Angles have measures equal to 90°. Obtuse Angles.
SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1.
Holt Geometry 3-1 Lines and Angles 3-1 Lines and Angles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Unit 3 Definitions. Parallel Lines Coplanar lines that do not intersect are called parallel. Segments and rays contained within parallel lines are also.
3-1 Parallel and Perpendicular Lines 3-1 Parallel Lines and Transversals.
DO NOW: 1. Write as a biconditional: If it is an egg then it is green. 2.
Lines and Angles Geometry Farris  I can identify parallel, perpendicular and skew lines.  I can identify the angles formed by two lines and a.
MCC8.G.5 Angles and Parallel Lines Intersecting Lines Lines that cross at exactly one point. Think of an intersection, where two roads cross each other.
1. Please complete the next 3 sections of your SKILL BUILDER now. 2. Please have out your HOMEWORK to be stamped.
Intersecting Lines – Coplanar lines that share one common point.
Section 3.1 Lines and Angles 6/30/2016 Goals 1. Identify relationships between lines 2. Identify angles formed by transversals.
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.
Lesson 3.1 Identify Pairs of Lines and Angles. Objective Identify angle pairs formed by three intersecting lines.
3-1 Lines and Angles Warm Up Lesson Presentation Lesson Quiz
3.1 Lines and Angles.
Parallel lines Section 3-1.
3.1 Relationships between lines
LINES AND ANGLES.
Lesson 3.1 Lines and Angles
Lines and Angles.
LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal.
Parallel and Perpendicular Lines
3.1 Pairs of Lines and Angles
Pairs of Lines and Angles
CHAPTER 3 LINES AND ANGLES Is it Chapter 3 for us too?
Section 3-1 Definitions.
3.1 Identify Pairs of Lines and Angles
Angles and Parallel Lines
LINES AND ANGLES.
CHAPTER 3 LINES AND ANGLES.
Relationships Between Lines
Lesson 3.1 : Identify Pairs of Lines and Angles
Parallel lines and transversals
Chapter 3 Sec 3.1 Lines and Angles.
CHAPTER 3 LINES AND ANGLES
LINES AND ANGLES.
Perpendicular Lines Definition: Two lines that intersect to form right angles. Note: The symbol  means “is perpendicular to”
3.1 – Identify pairs of lines and Angles
3.1 Lines and Angles.
Intro to Parallel Lines
Section 3.1: Lines and Angles
Parallel lines and transversals
Presentation transcript:

Skew, Parallel and Perpendicular Lines Chapter 4.1 Skew, Parallel and Perpendicular Lines

Objectives: We’ll learn… Define the characteristics of skew, parallel and perpendicular lines.

Skew Lines Skew lines lie in different planes. They are Not parallel Not intersecting Not perpendicular.

Skew lines Skew lines are noncoplanar lines. (Noncoplanar lines cannot intersect.)

SKEW LINES Lines that lie in different planes. They are neither parallel nor intersecting.

SKEW LINES Lines that lie in different planes. They are neither parallel nor intersecting. CD and FA are SKEW LINES FA and BD are SKEW LINES G B F A H D E C

Use the figure to find the following: A B E F D C H G Two pairs of Parallel Lines Two pairs of Parallel Planes Two pairs of Skew Lines

PARALLEL LINES 28 Def: lines that do not intersect; must be coplanar. Illustration: Notation: l || m AB || CD A B C D l m p. 129

Two lines are parallel if they do not intersect. B C D Read as line AB is parallel to line CD. EX1: Are the lines parallel?

Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking Streets: Laramie & LeClaire

Examples of Parallel Lines Streets: Belmont & School

29 PERPENDICULAR LINES Def: Lines that intersect to form a right angle. Illustration: Notation: m  n Key Fact: 4 right angles are formed. m n p. 79

PERPENDICULAR Lines that intersect to form right angles. 90° 90° 90°

When two lines intersect at right angles, TRICK: 4 right angles are formed, but it shows 1 only. (The other 3 are invisible.) They are called perpendicular lines. ┴

Ex. of Perpendicular Lines Window panes Streets: Belmont and Cicero

Language of Geometry

Parallel lines & Transversal

Angles, Parallel Lines & Transversal

Homework p. 144, 1-9, 15-17