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Ch 4.1 Parallel Lines and Planes

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  1. Ch 4.1 Planes Ch 4.1Parallel Linesand 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

  2. Ch 4.1 Planes Definitions

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

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

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

  6. Ch 4.1 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

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

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

  9. Ch 4.2 Ch 4.2Parallel Linesand 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.

  10. Ch 4.2 Definitions

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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