Chapter 3 Section 3.1 Lines and Angles.

Slides:



Advertisements
Similar presentations
Geometry Notes Sections 3-1.
Advertisements

3.1 Identify Pairs of Lines and Angles
Geometry Notes Sections 3-1.
Chapter 3 Section 3.1 Lines and Angles Relationships between lines Parallel –Coplanar lines that never intersect –Planes can also be parallel Skew –Non-coplanar.
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.
3.1 Identify Pairs of Lines and Angles. » Identify the relationships between two lines or two planes » Name angles formed by a pair of lines and a transversal.
GOAL 1 RELATIONSHIPS BETWEEN LINES EXAMPLE LINES AND ANGLES Vocabulary parallel lines—Be sure you understand the notation! skew lines parallel planes.
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 Objective: Students will identify the relationships between 2 lines or 2 planes, and name angles formed by parallel lines and transversals.
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.
Definitions Parallel lines: Two lines are parallel lines if and only if they do not intersect and are coplanar. Skew Lines: Two lines are skew lines if.
1.Name the relationship between  3 and  m  3 = ____ 3. Name the relationship between  9 and  m  10 = ____ Warm Up: l.
 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.
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?
IDENTIFY PAIRS OF LINES AND ANGLES SECTION
3.1 Lines and Angles. Standard/Objectives: Objectives: Identify relationships between lines. Identify angles formed by transversals.
Warm Up Week 1 If I run, then you walk. 1) What is the inverse? 2) Place marks to show congruence: AB ≅ EF and DE ≅ BC : B A C E D F.
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.
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.
Parallel and perpendicular lines Parallel lines are lines that are coplanar and do not intersect Skew lines are lines that do not intersect and are not.
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.
8-3 Angle Relationships Objective: Students identify parallel and perpendicular lines and the angles formed by a transversal.
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 Warm Up Lesson Presentation Lesson Quiz
Chapter 3 Section 3.1 & 3.2 Identify pairs of lines and angles and use parallel lines with transversals Objective: SWBAT identify angle pairs formed by.
3.1 Lines and Angles.
3.1 – 3.2 Quiz Review Identify each of the following.
Find the Area of the Figures Below:
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.
1. Name a line that does not intersect AD.
Parallel lines Section 3-1.
Parallel Lines and Transversals
Parallel Lines and Transversals
SEGMENTS, RAYS, PARALLEL LINES AND PLANES
Properties of Parallel Lines
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
Chapter 3 Section 3.1 Lines and Angles.
Geometry Chapter 3, Section 1
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
Parallel and Perpendicular Lines
3.1 Pairs of Lines and Angles
Chapter 3: Parallel and Perpendicular Lines
Vocabulary parallel lines perpendicular lines coplanar lines
Section 3-1 Definitions.
3.1 Identify Pairs of Lines and Angles
Parallel Lines and Transversals
Relationships Between Lines
3.1 Parallel lines and transversals
Lesson 3.1 : Identify Pairs of Lines and Angles
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
Section 3.1: Lines and Angles
Parallel and Perpendicular Lines
3.1 Parallel Lines and Transversals
Presentation transcript:

Chapter 3 Section 3.1 Lines and Angles

Warm-Up Name a line that contains C. AC B Name a line that contains C. AC Name a ray with endpoints B that contains A. BA Name an acute angle with vertex B that contains C. <EBC Name a segment with endpoint B that contains C. BC D C

Relationships between lines Parallel Coplanar lines that never intersect Planes can also be parallel Skew Non-coplanar lines that never intersect Perpendicular Lines that intersect to form a 90° angle

Perpendicular Parallel Skew 4. Parallel 5. Perpendicular Think of Each Segment in the Diagram As Part of a Line. Fill in the Blank With Parallel, Skew, or Perpendicular. Perpendicular Parallel Skew 4. Parallel 5. Perpendicular

Think of Each Segment in the Diagram As Part of a Line Think of Each Segment in the Diagram As Part of a Line. Fill in the Blank With Parallel, Skew, or Perpendicular. 6. Name a line parallel to 7. Name a line perpendicular to 10. Name a line perpendicular to 8. Name a line skew to 9. Name a plane parallel to GHJ LMN

Corresponding Angles:1 and 7, 2 and 8, 4 and 5, 2 and 8 3 4 5 6 7 8 Corresponding Angles:1 and 7, 2 and 8, 4 and 5, 2 and 8 Alternate Interior: 7 and 6, 5 and 8 Alternate Exterior: 4 and 2, 3 and 1 Consecutive Interior: 7 and 5, 6 and 8

Complete the Statement With Corresponding, Alternate Interior, Alternate Exterior, or Consecutive Interior 6 and 10 are __________ angles 7 and 9 are __________ angles 8 and 9 are __________ angles 12 and 8 are __________ angles 5 and 11 are __________ angles 8 and 10 are __________ angles corresponding alternate interior consecutive interior corresponding alternate exterior alternate interior

Use the diagram of the Ferris Wheel to determine if the statement is true or false