Ch 4.1 Parallel Lines and Planes

Slides:



Advertisements
Similar presentations
NM Standards: GT-A-7.
Advertisements

Splash Screen. Then/Now I CAN identify relationships between two lines or two planes and name angle pairs formed by parallel lines and transversals. Learning.
Parallel Lines and Transversals Angles and Parallel Lines
Angles and Parallel Lines
Parallel Lines and Transversals Geometry D – Section 3.1.
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.
Angles and Parallel Lines
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 2) CCSS Then/Now New Vocabulary Key Concepts: Parallel and Skew Example 1:Real-World Example:
TOMORROW: WE WILL HAVE CLASS IN ROOM Then/Now You used angle and line segment relationships to prove theorems. Identify relationships between two.
Warm ups Make a conjecture about the next number in the sequence, 5, 20, 80, 320. Write the contrapositive of this statement. If you live in Boston, then.
Angles and Parallel Lines
Lesson 3-1: Parallel Lines & Transversals
3-1 Parallel Lines and Transversals
Lesson 3-1 Parallel Lines and Transversals. Ohio Content Standards:
Key Concepts: Parallel and Skew Lines
Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST.
Parallel Lines and Transversals
3.1 Parallel Lines and Transversals
Parallel and Perpendicular 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.
3.1 – Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not intersect AND are coplanar Skew Lines: Two lines are skew.
Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc., Cincinnati, Ohio Send all.
Lesson 3-1 Parallel Lines and Transversals. 5-Minute Check on Chapter 2 Transparency Make a conjecture about the next item in the sequence: 5,
Splash Screen. Lesson Menu Five-Minute Check (over Chapter 2) Then/Now New Vocabulary Key Concepts: Parallel and Skew Example 1:Real-World Example: Identify.
Lesson 3-1 Menu 1.Make a conjecture about the next number in the sequence: 5, 20, 80, What is the contrapositive of this statement? If you live.
Lesson 3 – 1 Parallel Lines and Transversals
 Lesson 1: Parallel Lines and Transversals.  Parallel lines ( || )- coplanar lines that do not intersect (arrows on lines indicate which sets are parallel.
Parallel Lines and Transversals LESSON 3–1. Lesson Menu Five-Minute Check (over Chapter 2) TEKS Then/Now New Vocabulary Key Concepts: Parallel and Skew.
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?
Get Ready for Chapter 3  P
EXAMPLE 3 Identify angle relationships a. Corresponding b. Alternate interior c. Alternate exterior Consecutive interior d. SOLUTION a.  5 1 and  6.
Angles and Parallel Lines
CHAPTER 3 REVIEW.
3-1 Parallel Lines and Transversals 3-1 Parallel Lines and Transversals Page 173.
3.1: Lines and Angles 1. Today’s Objectives  To identify relationships between figures in space  To identify angles formed by two lines and a transversal.
Splash Screen. Then/Now You used angle and line segment relationships to prove theorems. Identify relationships between two lines or two planes. Name.
Table of Contents Date: Topic: Description: Page:.
3.1 – 3.2 Quiz Review Identify each of the following.
Parallel Lines and Transversals
Objectives Identify parallel, perpendicular, and skew lines.
1. Name a line that does not intersect AD.
Parallel Lines and Transversals
Angles and Parallel Lines
Parallel Lines and Transversals
Splash Screen.
Angles and Parallel Lines
Parallel Lines and Transversals
Splash Screen.
Lesson 3-1: Parallel Lines & Transversals
Lesson 3-1: Parallel Lines & Transversals
Parallel and Perpendicular Lines
3.1 Notes: Parallel Lines and Transversals
Lesson 3-1: Parallel Lines & Transversals
Chapter 3: Parallel and Perpendicular Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Angles and Parallel Lines
Properties of parallel Lines
Angles and Parallel Lines
Parallel Lines and Transversals
Angles and Parallel Lines
Splash Screen.
Parallel Lines cut by a transversal
3.1 Parallel Lines and Transversals
Angles and Parallel Lines
Presentation transcript:

Ch 4.1 Parallel Lines and Planes Learning Target: I will be able to identify relationships between two lines or two planes. Standard 1.0 Students demonstrate understanding by identifying and giving examples of undefined terms

Ch 4.1 Planes Definitions

Ch 4.1 A. Name all segments parallel to BC. Answer: AD, EH, FG Planes Identify Parallel and Skew Relationships A. Name all segments parallel to BC. Answer: AD, EH, FG Example 1

Ch 4.1 B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Planes Identify Parallel and Skew Relationships B. Name a segment skew to EH. Answer: AB, CD, BG, or CF Example 1

Ch 4.1 C. Name a plane parallel to plane ABG. Answer: plane CDE Planes Identify Parallel and Skew Relationships C. Name a plane parallel to plane ABG. Answer: plane CDE Example 1

Ch 4.1 Classwork #1 A. Name a plane that is parallel to plane RST. Planes Classwork #1 A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX Example 1a

Ch 4.1 Classwork #1 B. Name a segment that intersects YZ. A. XY B. WX Planes Classwork #1 B. Name a segment that intersects YZ. A. XY B. WX C. QW D. RS Example 1b

Ch 4.1 Classwork #1 C. Name a segment that is parallel to RX. A. ZW Planes Classwork #1 C. Name a segment that is parallel to RX. A. ZW B. TZ C. QR D. ST Example 1c

Ch 4.2 Parallel Lines and Transversals Learning Target: I will be able to name angle pairs formed by parallel lines and transversals. Standard 7.0 Students use theorems involving the properties of parallel lines cut by a transversal.

Ch 4.2 Definitions

Ch 4.2 Classify Angle Pair Relationships A. Classify the relationship between 2 and 6 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: corresponding Example 2

Ch 4.2 Classify Angle Pair Relationships B. Classify the relationship between 1 and 7 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate exterior Example 2

Ch 4.2 Classify Angle Pair Relationships C. Classify the relationship between 3 and 8 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: consecutive interior Example 2

Ch 4.2 Classify Angle Pair Relationships D. Classify the relationship between 3 and 5 as alternate interior, alternate exterior, corresponding, or consecutive interior angles. Answer: alternate interior Example 2

Ch 4.2 Classwork #2 A. Classify the relationship between 4 and 5. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2a

Ch 4.2 Classwork #2 B. Classify the relationship between 7 and 9. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2b

Ch 4.2 Classwork #2 C. Classify the relationship between 4 and 7. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2c

Ch 4.2 Classwork #2 D. Classify the relationship between 2 and 11. A. alternate interior B. alternate exterior C. corresponding D. consecutive interior Example 2d

Ch 4.2 Identify Transversals and Classify Angle Pairs A. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 1 and 2. Then classify the relationship between the pair of angles. Answer: The transversal connecting 1 and 2 is line v. These are corresponding angles. Example 3

Ch 4.2 Identify Transversals and Classify Angle Pairs B. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 2 and 3. Then classify the relationship between the pair of angles. Answer: The transversal connecting 2 and 3 is line v. These are alternate interior angles. Example 3

Ch 4.2 Identify Transversals and Classify Angle Pairs C. BUS STATION The driveways at a bus station are shown. Identify the transversal connecting 4 and 5. Then classify the relationship between the pair of angles. Answer: The transversal connecting 4 and 5 is line y. These are consecutive interior angles. Example 3

Ch 4.2 Classwork #3 A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal. A. lines c, f B. lines c, d, e C. lines c, d, f D. lines c, d, e, f Example 3a

Ch 4.2 Classwork #3 B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal. A. no lines B. lines c, f C. lines c, d, e, f D. lines a, c, d, e, f Example 3b

Ch 4.2 Classwork #3 C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal. A. no lines B. lines a, b, d, e, f C. lines a, d, f D. lines a, b, e Example 3c