Objective: After studying this lesson you will be able to recognize planes, transversals and parallel lines. You will also be able to identify the pairs.

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

The objective of this lesson is:
4.5 Introduction to Parallel Lines
4.5/5.2 Parallel Lines I can prove lines parallel I can recognize planes and transversals I can identify the pairs of angles that are congruent given parallel.
Parallel Lines.
Parallel Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 1.
Lesson 3-1 Parallel Lines and Transversals. Ohio Content Standards:
PARALLEL LINES and TRANSVERSALS.
3.1 Lines and Angles Parallel Lines –Coplanar lines that do not intersect. –The symbol || means “is parallel to.”
1 Angles and Parallel Lines. 2 Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Angle Relationships Common Necessary Vocabulary for Parallel and Intersecting 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 Lines Lesson 4.5. Objective: Recognize planes and transversals, identify the pairs of angles formed by a transversal and recognize parallel lines.
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?
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.
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.
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.
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 and 3.2 Parallel lines and transversals
Angles and Parallel Lines
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.
Lesson 3.1 Identify Pairs of Lines and Angles. Definitions Parallel Lines- They don’t intersect and are COPLANAR Perpendicular Lines- They intersect at.
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
8-3 Angle Relationships Objective: Students identify parallel and perpendicular lines and the angles formed by a transversal.
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 Word Bank Vertical Angles Congruent Angles Linear Pair Parallel Lines Skew Lines – Lines that do not intersect and are not coplanar.
Objectives Identify parallel, perpendicular, and skew lines.
Parallel lines Section 3-1.
Parallel Lines and Transversals
Parallel Lines and Transversals
Angles and Parallel Lines
3.1 Lines and Angles 3.1 Lines and Angles.
Lesson 3.1 Lines and Angles
Lines and Angles.
Angles and Parallel Lines
Lesson 5-2 Parallel and Perpendicular Lines
Lesson 12.2 Angles and Parallel Lines
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 Notes: Parallel Lines and Transversals
3.1 Pairs of Lines and Angles
Lines & Angles.
Chapter 3: Parallel and Perpendicular Lines
Module 14: Lesson 2 Transversals and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Vocabulary parallel lines perpendicular lines coplanar lines
Section 3-1 Definitions.
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Objectives: Identify parallel and perpendicular lines
Relationships Between Lines
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”
Angles and Parallel Lines
Proving Lines Parallel
3.1 Lines and Angles.
Intro to Parallel Lines
Parallel Lines cut by a transversal
Presentation transcript:

Objective: After studying this lesson you will be able to recognize planes, transversals and parallel lines. You will also be able to identify the pairs of angles formed by a transversal.

Definitiona plane is a surface such that if any two points of the surface are connected by a line, all points of the line are also on the surface. A plane has only 2 dimensions—length and width. Both the length and the width are infinite. A plane has no thickness.

DefinitionIf points, lines, segments, and so forth, lie in the same plane, we call them coplanar. Points, lines, segments, and so forth, that do not lie in the same plane are called noncoplanar. DefinitionA transversal is a line that intersects two coplanar lines in two distinct points. a b t

The region between the lines d and e is the interior of the figure. d e t Interior Region Exterior Region The rest of the plane is the exterior.

A C E D F B DefinitionAlternate interior angles are a pair of angles formed by two lines and a transversal. The angles must both lie in the interior of the figure, must lie on alternate sides of the transversal, and must have different vertices. 1 2 Look for an N or Z shape

A C E D F B DefinitionAlternate exterior angles are a pair of angles formed by two lines and a transversal. The angles must both lie in the exterior of the figure, must lie on alternate sides of the transversal, and must have different vertices. 3 4

A C E D F B DefinitionCorresponding angles are a pair of angles formed by two lines and a transversal. One angle must lie in the interior of the figure, and the other must lie in the exterior. The angles must lie on the same side of the transversal but have different vertices. 5 6 Look for an F shape

What type of angles do you see? A B C D E F 7 8 C BA D

DefinitionParallel lines are two coplanar lines that do not intersect. A B C D E F GH c a b To be parallel, lines must be coplanar.

A H B G F C E D a. Which of the lines in the figure at the right is the transversal? b. Name all pairs of alternate interior angles. c. Name all pairs of alternate exterior angles. d. Name all pairs of corresponding angles. e. Name all pairs of interior angles on the same side of the transversal. f. Name all pairs of exterior angles on the same side of the transversal.

Summary: Homework: worksheet Name the different angles on parallel lines that are cut by a transversal and how you will remember them.

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

© 2024 SlidePlayer.com Inc. All rights reserved.