 Train tracks  Cross roads  Building plans  Stripes on a flag  Park bench  Free way  Telephone wire  Track lanes  Chain link fence  Football.

Slides:



Advertisements
Similar presentations
3.1 Identify Pairs of Lines and Angles
Advertisements

Angles and Parallel Lines
Relationships Between Lines Parallel Lines – two lines that are coplanar and do not intersect Skew Lines – two lines that are NOT coplanar and do not intersect.
Angles and Parallel Lines
Angles and Parallel Lines
Angle Relationships Vocabulary
E.Q. What angle pairs are formed by a transversal?
Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?
Lesson 3-4 Proving lines parallel,. Postulates and Theorems Postulate 3-4 – If two lines in a plane are cut by a transversal so that corresponding angles.
Identify Pairs of Lines and Angles
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.
Geometry 3.1 Big Idea: Identify pairs of lines and angles Big Idea: Identify pairs of lines and angles.
Angles and 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.
Boyd/Usilton. Parallel and Skew Lines Parallel lines: coplanar lines that do not intersect. Skew lines: are noncoplanar, not parallel and do not intersect.
1.Name the relationship between  3 and  m  3 = ____ 3. Name the relationship between  9 and  m  10 = ____ Warm Up: l.
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 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.
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
Angles and Parallel Lines
SWLT: Identify angle pairs formed by three intersecting lines GEOMETRY 3.1.
Lines that are coplanar and do not intersect. Parallel Lines.
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.
Warm Up: 1.Using lined paper and a ruler trace over a set of parallel lines. Then, draw a line intersecting these lines as shown below. 2.Using a protractor,
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.
3.1 & 3.2 Identify Pairs of Lines and Angles Use Parallel Lines and Transversals.
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.
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
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.
3.1 Lines and Angles.
3.1 – 3.2 Quiz Review Identify each of the following.
Parallel lines Section 3-1.
Parallel Lines and Transversals
Angles and Parallel Lines
Proving Lines Parallel
Lesson 3.1 Lines and Angles
Lines and Angles.
Parallel Lines and Angles
Angles and Parallel Lines
Lesson 12.2 Angles and Parallel Lines
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Proving Lines Parallel
Parallel and Perpendicular Lines
3.1 Pairs of Lines and Angles
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
A line that intersects two or more lines at different points
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.
Angles and Parallel Lines
3.1 – Identify pairs of lines and Angles
Transversal, Alternate Interior Angles, Alternate Exterior Angles
3.1 Lines and Angles.
Section 3.1: Lines and Angles
Presentation transcript:

 Train tracks  Cross roads  Building plans  Stripes on a flag  Park bench  Free way  Telephone wire  Track lanes  Chain link fence  Football field

October 10, 2014

 Parallel Lines: If they lie on the same plane and do not intersect

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen parallel lines in _________, specifically in the way___________.

 Skew Lines: If they lie on different planes and do not intersect

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen skew lines in _________, specifically in the way___________.

 Parallel Planes: Two planes that do not intersect

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen parallel planes in _________, specifically in the way___________.

 Parallel Postulate: if there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

 Perpendicular Postulate: if there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. "'':" :

 Transversal: A line that intersects two or more lines at different points. Spot the transversal!

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen transversals in _________, specifically in the way___________.

 Corresponding Angles: Two angles that occupy corresponding positions.  Corresponding: similar in form

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen corresponding angles in _________, specifically in the way___________.

 Alternate Exterior Angles: Angles that lie on the outside of the two lines and on opposite sides of the transversal.

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen alternate exterior angles in _________, specifically in the way___________.

 Alternate Interior Angles: Angles that lie between the two lines and on opposite sides of the transversal.

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen alternate interior angles in _________, specifically in the way___________.

 Consecutive Interior Angles: (aka same side interior angles) Angles that lie between the two lines and on the same side of the transversal.  Consecutive: Back-to-back, following

With your partner, use this sentence frame to describe where and how you have seen this figure in real life… I have seen consecutive interior angles in _________, specifically in the way___________.

1 2 What types of angles are demonstrated here? Answer: Alternate Exterior Angles

3 4 What types of angles are demonstrated here? Answer: Alternate Interior Angles

5 6 What types of angles are demonstrated here? Answer: Consecutive Interior Angles

5 6 What types of angles are demonstrated here? Answer: Corresponding Angles