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Section 1-3: Segments, Rays, Parallel Lines and Planes Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems.

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Presentation on theme: "Section 1-3: Segments, Rays, Parallel Lines and Planes Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems."— Presentation transcript:

1 Section 1-3: Segments, Rays, Parallel Lines and Planes Goal 2.02: Apply properties, definitions, and theorems of angles and lines to solve problems

2 Essential Question What are the characteristics of parallel lines and planes and skew lines?

3 between A point R is between S and T iff (if and only if) – a. R, S, and T are distinct and collinear – b. SR + RT = ST

4 segment segment AC, denoted AC or CA, consists of points A and C and all points between A and C

5 ray ray AC, denoted AC, consists of AC and all other points P such that C is between A and P. The endpoint of ray AC is A, the point named first. (The arrow must be on the right end of the segment bar.)

6 opposite rays AC and AB are opposite rays iff A is between B and C. (This means A, B, and C must be collinear.) *Note: Opposite rays must have the same endpoint.

7 parallel lines coplanar lines that do not intersect (Use  as the symbol for the word parallel. Indicate lines are parallel by drawing a corresponding number of arrows on the parallel lines somewhere on the line other than the endpoint of the segment drawn.)

8 skew lines noncoplanar lines that do not intersect

9 parallel planes planes that do not intersect

10 Examples: page 19: 5 – 7 5.) Name all the labeled segments. 6.) Name all the labeled rays. 7.) a. Name a pair opposite rays with T as an endpoint. b. Name another pair of opposite rays. R S T W

11 Examples: p 19: 11, 14, 17 – 20 E B D F A C 11.) AC 14.) AC 17.) parallel planes 18.) parallel lines 19.) skew lines 20.) a line and a plane that are parallel

12 Classwork Independently do p. 20 (21 – 35) [10 minutes] Go Over Pairs do p. 20 (37 – 47) Finish compare answer with another pair

13 Ticket out the door 1.) How are parallel and skew lines alike? 2.) How are they different?

14 Homework Textbook: p 23 (71 – 85 all) Workbook: Practice 1-3


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