3.1 Identify Pairs of Lines and Angles

Slides:



Advertisements
Similar presentations
Angles and Parallel Lines
Advertisements

Angles and Parallel Lines
4.5 Introduction to Parallel Lines
Investigating Angle Pairs Vocabulary Transversal: a line intersecting two or more lines at different points Corresponding Angles: angles that appear to.
Angle Relationships Vocabulary
E.Q. What angle pairs are formed by a transversal?
Parallel Lines & Transversals & Angles
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.
Parallel lines, transversals and angles
Angle Relationships Common Necessary Vocabulary for Parallel and Intersecting Lines.
Transversal and Parallel Lines
Unit 1 Angles and Parallel Lines. Transversal Definition: A line that intersects two or more lines in a plane at different points is called a transversal.
Types of Angles.
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.
Warm Up 1.) Name a line that contains C. 2.) Name a ray with endpoint B that contains A. 3.) Name an angle with vertex B that contains C. 4.) Name a segment.
Parallel Lines with a Transversal Angle Relationships.
Parallel Lines Properties of Angles Formed by Parallel Lines and a Transversal.
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.
Geometry Section 3.1 Transversals & Related Angles.
Chapter 3 Perpendicular & Parallel Lines Sec. 3.1 Lines and Angles GOALS: To identify relationships between lines and angles formed by transversals.
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
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.
Parallel Lines Cut by Transversal Created by Mrs. Bentley.
3.1 Lines and Angles.
Geometry 3-2 Angles and Algebra
Parallel Lines & Transversals
Warm Up Word Bank Vertical Angles Congruent Angles Linear Pair Parallel Lines Skew Lines – Lines that do not intersect and are not coplanar.
Parallel lines Section 3-1.
Parallel Lines and Transversals
Angles and Parallel Lines
Lesson 3.1 Lines and Angles
Alternate Interior Angles
Lines and Angles.
Angles and Parallel Lines
Lesson 2 Crisscross Applesauce
LT 3.1: Identify parallel lines, perpendicular lines, skew lines and angles formed by two lines and a transversal.
Warm Up #3 9/14 Given m<1 = 7x-24 m<2 = 5x+14
vertical alternate interior linear pair
3.1 Pairs of Lines and Angles
5-1 Lines & Angles To identify relationships between figures in space
Chapter 3: Parallel and Perpendicular Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
3.1 Identify Pairs of Lines and Angles
Angles and Parallel Lines
5-1 Lines & Angles To identify relationships between figures in space
Angles and Parallel Lines
Angles and Parallel Lines
Objectives: Identify parallel and perpendicular lines
Relationships Between Lines
Lesson 3.1 Lines Cut By A Transversal
Chapter 3 Sec 3.1 Lines and Angles.
Angles and Parallel Lines
Warmup! Use the figure at right to: 1. Name the set of parallel lines.
3.1 Lines and Angles.
Intro to Parallel Lines
Section 3.1: Lines and Angles
Identify Pairs of Lines and Angles
Presentation transcript:

3.1 Identify Pairs of Lines and Angles

Transversal – a line that intersects two or more coplanar lines at different points.

Corresponding Angles (C) – have corresponding positions Corresponding Angles (C) – have corresponding positions. For example: label 2 and  6 t 2 6

F Corresponding Angles (C) What shape do corresponding angles make? t 2 F 6

Alternate Interior Angles (AI) – lie on alternate (opposite) sides of the transversal on the interior (inside/between) the two lines. For example: label  4 and 5 t 4 5

Z Alternate Interior Angles (AI) What shape do alternate interior angles make? t Z 4 5

Alternate Exterior Angles (AE) – lie on alternate (opposite) sides of the transversal and on the exterior (outside) of the two lines. For example: label 1 and 8 t 1 8

Not really Alternate Exterior Angles (AE) Do alternate exterior angles have a shape? Not really t 1 8

Same Side Interior Angles (SSI) – lie on the same side of the transversal and on the (inside) of the two lines. For example: label 3 and  5 t 3 5

C Same Side Interior Angles (SSI) What shape do Same Side Interior angles make? C t 3 5

Slanty T shape X shape Don’t forget!!! Vertical Angles (V) Linear Pair (LP) 3 4 1 2 Slanty T shape X shape

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 1. 4 and 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Same-Side Interior Highlight ange 4 and 7.

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 2. 6 and 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Alternate Interior Highlight ange 4 and 7.

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 3. 6 and 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Highlight ange 4 and 7. Corresponding

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 4. 9 and 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Highlight ange 4 and 7. Linear Pair

Determine if the angles are alternate interior, same-side interior, corresponding, vertical angles, linear pair or no relationship. 5. 3 and 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 No Relationship Highlight ange 4 and 7.