4.5 I NTRO TO P ARALLEL L INES How can we recognize planes, transversals, pairs of angles formed by a transversal, and parallel lines?

Slides:



Advertisements
Similar presentations
NM Standards: GT-A-7.
Advertisements

3.1 Identify Pairs of Lines and Angles
NM Standards: GT-A-7. Parallel Lines Coplanar lines that do not intersect. The symbol || means “is parallel to” The red arrows also mean “is parallel.
4.5 Introduction to Parallel Lines
E.Q. What angle pairs are formed by a transversal?
3.1 Lines and Angles Parallel Lines –Coplanar lines that do not intersect. –The symbol || means “is parallel to.”
3-1 DEFINITIONS Chapter 3 Test: Tuesday Oct. 18 th Quiz: Friday Oct. 14th.
L INES AND A NGLES Chapter 3 Section 1. P ARALLEL L INES Coplanar lines that do not intersect. The symbol that represents them is:
Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles.
3.1 Parallel Lines and Transversals
S ECTIONS 3.1 & 3.3 T RANSVERSALS & A NGLES 1/13.
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 Lines Lesson 4.5. Objective: Recognize planes and transversals, identify the pairs of angles formed by a transversal and recognize parallel lines.
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.
Section 3-1 Lines & Angles. Key Concepts Parallel and Skew Parallel Lines – Coplanar lines that do not intersect. Skew Lines – Non coplanar lines. They.
Boyd/Usilton. Parallel and Skew Lines Parallel lines: coplanar lines that do not intersect. Skew lines: are noncoplanar, not parallel and do not intersect.
WARM UP Look through pages Write down the definitions of –Transversals –Interior –Exterior –Alternate Interior Angles –Alternate Exterior Angles.
3.1 PARALLEL LINES Thompson How can I recognize planes, transversals, pairs of angles formed by a transversal, and parallel lines?
Section 3.1 ~ Parallel and Skew lines!
3.3 Angles Formed by Transversals Pg 123. Transversal: A transversal is a line that intersects two or more coplanar lines at different points. Transversal.
Holt McDougal Geometry 3-1 Lines and Angles Warm Up Identify each of the following. 1. points that lie in the same plane 2.two angles whose sum is 180°
 Lesson 1: Parallel Lines and Transversals.  Parallel lines ( || )- coplanar lines that do not intersect (arrows on lines indicate which sets are parallel.
VOCABULARY UNIT 3. PARALLEL LINES Lines on the same plane that never intersect.
Wednesday, September 5, 2012 BUT BUT Homework: p. 128 #16-33 mentally; writing Homework: p. 128 #16-33 mentally; writing.
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.
3.1 PARALLEL LINES Thompson
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
3.1 and 3.2 Parallel lines and transversals
Angles and Parallel Lines
SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1.
Geometry Section 3.1 Transversals & Related Angles.
Chapter 3 Perpendicular & Parallel Lines Sec. 3.1 Lines and Angles GOALS: To identify relationships between lines and angles formed by transversals.
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.
1. Differentiate intersecting, parallel, and skew lines; 2. Classify pairs of angles generated whenever two lines are cut by a transversal; and 3. Cite.
Warm Up Identify each of the following. 1. points that lie in the same plane 2.two angles whose sum is 180° 3.the intersection of two distinct intersecting.
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
Complete each sentence. 1. Angles whose measures have a sum of 90° are _______________. 2. Vertical angles have equal measures, so they are ______________.
Section 3.1. Parallel Lines – coplanar lines that never intersect and have the same slope Parallel Lines – coplanar lines that never intersect and have.
2.4 Angle Postulates and Theorems
Section 3.1 Lines and Angles 6/30/2016 Goals 1. Identify relationships between lines 2. Identify angles formed by transversals.
Parallel Lines & Transversals. Transversal A line, ray, or segment that intersects 2 or more COPLANAR lines, rays, or segments.
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.
Objectives Identify parallel, perpendicular, and skew lines.
Parallel lines Section 3-1.
Parallel Lines and Transversals
Lesson 3.1 Lines and Angles
Lines and Angles.
Transversal Definition: A line intersecting two or more other lines in a plane. Picture:
LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal.
Parallel and Perpendicular Lines
4.5 Introduction To Parallel Lines
3.1 Pairs of Lines and Angles
Lines & Angles.
Chapter 3: Parallel and Perpendicular Lines
Angles and Parallel Lines
3.1 Identify Pairs of Lines and Angles
Section 3-1 Definitions.
Relationships Between Lines
3.1 Lines and Angles.
Lesson 3.1 : Identify Pairs of Lines and Angles
Chapter 3 Sec 3.1 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
Presentation transcript:

4.5 I NTRO TO P ARALLEL L INES How can we recognize planes, transversals, pairs of angles formed by a transversal, and parallel lines?

D EFINITION : P ARALLEL L INES Two coplanar lines that do not intersect P LANE U NDEFINED T ERM : P LANE A surface such that if any two points on the surface are connected by a line, all points of the line are also on the surface. A plane only has 2 dimensions. Special Note: NON-Coplanar Lines are called Skew Lines

S YMBOLS FOR P ARALLEL L INES

R ECALL THE THREE UNDEFINED TERMS

D EFINITION : C OPLANAR Points, lines, and segments on the same plane. Definition: N ONCOPLANAR Points, lines, and segments not on the same plane.

A F B D G

D EFINITION : T RANSVERSAL A line that intersects two coplanar lines in two distinct points. T Note that the lines are not necessarily parallel.

D EFINITIONS : OF S PECIAL A NGLES Interior Angles – lie between the two ll lines (  3,  4,  5, and  6) Alternate Interior Angles – are on opposite sides of the transversal. (  3 &  6 AND  4 and  5) Same-Side Interior Angles – are on the same side of the transversal. (  3 &  5 AND  4 &  6) T

D EFINITIONS : M ORE S PECIAL A NGLES Exterior Angles – lie outside the two lines (  1,  2,  7, and  8) Alternate Exterior Angles – are on opposite sides of the transversal (  1&  8 AND  2 &  7) Corresponding Angles – same location, different intersections (  2 &  6,  4 &  8,  1 &  5,  3 &  7)

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.