ANGLE PAIRS AND RELATIONSHIPS WITH PARALLEL LINES 3.1-3.2.

Slides:



Advertisements
Similar presentations
E.Q. What angle pairs are formed by a transversal?
Advertisements

Parallel Lines Advanced Geometry Parallel and Perpendicular Lines Lesson 1.
Chapter 3.1: Identify Pairs of Lines and Angles. M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals?
Use Parallel Lines and 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.
Section 3-2 Properties of Parallel Lines – Day 1, Calculations. Michael Schuetz.
Section 3.2 Properties of Parallel Lines. If two parallel lines are cut by a transversal, then Alternate interior angles (AIAs) are Alternate exterior.
3.1 Parallel Lines and Transversals
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.
GOAL 1 RELATIONSHIPS BETWEEN LINES EXAMPLE LINES AND ANGLES Vocabulary parallel lines—Be sure you understand the notation! skew lines parallel planes.
Angles and Parallel Lines
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.
Section 3.1 ~ Parallel and Skew lines!
3.3 Parallel Lines and Transversals Proving angles congruent with parallel lines.
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.
Parallel Lines and Angles Objectives Define transversal and the angles associated with a transversal State and apply the properties of angles.
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
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.
Ch 3.1 Standard 2.0: Students write geometric proofs. Standard 4.0: Students prove basic theorems involving congruence. Standard 7.0: Students prove and.
PARALLEL LINES & TRANSVERSALS Parallel Lines - lines in the same plane that will never intersect.
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.
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 – 3.2 Quiz Review Identify each of the following.
3.2- Angles formed by parallel lines and transversals
14. AB // DE 2 and  AB and CF 1 and 5
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.
Parallel Lines and Transversals
Parallel Lines and Transversals
Use Parallel Lines and Transversals
Section 3-2 Properties of Parallel Lines, Calculations.
Lesson 3.1 Lines and Angles
Section 3-1: Properties of Parallel Lines
Chapter 3 Section 3-1: Properties of Parallel Lines
Warm Up Identify each angle pair. 1. 1 and 3 2. 3 and 6
3-3 Proving Lines  Geometry.
Parallel and Perpendicular Lines
Parallel Lines and a Transversal Line
Parallel Lines and a Transversal Line
3.1 Pairs of Lines and Angles
3.2- Angles formed by parallel lines and transversals
 
Chapter 3: Parallel and Perpendicular Lines
3.2 Use || Lines and Transversals
Use Parallel Lines and Transversals
3-2 Properties of Parallel Lines
VOCABULARY (Definitions)
Proving Lines Parallel
Properties of parallel Lines
Parallel Lines and Transversals
Relationships Between Lines
3.1 Parallel Lines, Transversals and Angle Relationships
Chapter 3 Sec 3.1 Lines and Angles.
Proving Lines Parallel
3.1 – Identify pairs of lines and Angles
Angles and Parallel Lines
Parallel Lines and Transversals
Section 3.1: Lines and Angles
Objectives Identify parallel, perpendicular, and skew lines.
3.2 Parallel Lines and Transversals …..
Lesson 3 – 5 Proving Lines Parallel
3-3 Proving Lines  Geometry.
3.1 Parallel Lines and Transversals
Presentation transcript:

ANGLE PAIRS AND RELATIONSHIPS WITH PARALLEL LINES

DEFINITIONS  Parallel Lines:   Skew Lines:   Parallel Planes:

EXAMPLES

EXAMPLE 1

TRANSVERSALS  Transversal:

EXAMPLE 2  Corresponding Angles (Corr. Angles):   Alternate int. Angles (AIA):   Alternate ext. Angles (AEA):   Consecutive Interior Angles (Same Side Interior Angles (SSIA)):

CORRESPONDING ANGLES POSTULATE

EXAMPLE 4  Find the measure of all of the Numbered angles.

SOLVE FOR X

HOMEWORK  WS 3.1 A 1-24  WS 3.2 B 1-21 odd