 Lesson 1: Parallel Lines and Transversals.  Parallel lines ( || )- coplanar lines that do not intersect (arrows on lines indicate which sets are parallel.

Slides:



Advertisements
Similar presentations
Parallel Lines & Transversals
Advertisements

NM Standards: GT-A-7.
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.
E.Q. What angle pairs are formed by a transversal?
Parallel Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 1.
Lesson 3-1 Parallel Lines and Transversals. Ohio Content Standards:
Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?
Geometry 3-1 Parallel Lines and Angles Parallel Lines- lines that never intersect Symbol: || Perpendicular Lines- lines that intersect and make right angles.
Lesson 2-3: Pairs of Lines
3.1 Parallel Lines and Transversals
Parallel lines, transversals and angles
Geometry 3.1 Big Idea: Identify pairs of lines and angles Big Idea: Identify pairs of lines and angles.
Note-taking Guide I suggest only taking writing down things in red If there is a diagram you should draw, it will be indicated.
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.
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.
Lesson 3 – 1 Parallel Lines and Transversals
Parallel Lines Properties of Angles Formed by Parallel Lines and a Transversal.
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.
Do Now A B C D 1.Name a line that does not intersect with line AC. 2.What is the intersection of lines AB and DB?
Transversals + Parallel lines Obj: to use the properties of transversals to solve angle problems.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1.
Chapter 3 Perpendicular & Parallel Lines Sec. 3.1 Lines and Angles GOALS: To identify relationships between lines and angles formed by transversals.
Parallel Lines and Transversals Section 3-1.  2 lines that do not intersect are either parallel or skew.  Parallel lines ( lines) do not intersect and.
3-1 Parallel Lines and Transversals 3-1 Parallel Lines and Transversals Page 173.
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.
Lesson 3.1 Identify Pairs of Lines and Angles. Definitions Parallel Lines- They don’t intersect and are COPLANAR Perpendicular Lines- They intersect at.
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
Section 3.1. Parallel Lines – coplanar lines that never intersect and have the same slope Parallel Lines – coplanar lines that never intersect and have.
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.
Table of Contents Date: Topic: Description: Page:.
3.1 Lines and Angles.
3.1 – 3.2 Quiz Review Identify each of the following.
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
Lesson 3.1 Lines and Angles
Lines and Angles.
Chapter 3.1: Identify Pairs of Lines and Angles
Ch. 3 Vocabulary 1.) parallel lines 2.) perpendicular lines
Transversal Definition: A line intersecting two or more other lines in a plane. Picture:
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Parallel and Perpendicular Lines
3.1 Notes: Parallel Lines and Transversals
3.1 Pairs of Lines and Angles
Lines & Angles.
Chapter 3: Parallel and Perpendicular Lines
VOCABULARY (Definitions)
Vocabulary parallel lines perpendicular lines coplanar lines
Section 3-1 Definitions.
Parallel Lines and Transversals
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”
Angle Relationships with Parallel Lines
3.1 Lines and Angles.
Angles and Parallel Lines
Section 3.1: Lines and Angles
3.1 Parallel Lines and Transversals
Presentation transcript:

 Lesson 1: Parallel Lines and Transversals

 Parallel lines ( || )- coplanar lines that do not intersect (arrows on lines indicate which sets are parallel to each other)  Parallel planes- two or more planes that do not intersect  Skew lines- lines that do not intersect but are not parallel (are not coplanar)  Transversal- a line that intersects two or more lines in a plane at different points

 Exterior angles: outside the two parallel lines  Interior angles: between the two parallel lines  Consecutive Interior angles: between the two parallel lines, on the same side of the transversal  Consecutive Exterior angles: outside the two parallel lines, on the same side of the transversal  Alternate Exterior angles: outside the two parallel lines, on different sides of the transversal  Alternate Interior angles: between the two parallel lines, on different sides of the transversal  Corresponding angles: one outside the parallel lines, one inside the parallel lines and both on the same side of the transversal

A. Name all segments parallel to BC. B. Name a segment skew to EH. C. Name a plane parallel to plane ABG.

A. 2 and 6 B. 1 and 7 C. 3 and 8 D. 3 and 5

A. Identify the sets of lines to which line a is a transversal. B. Identify the sets of lines to which line b is a transversal. C. Identify the sets of lines to which line c is a transversal.