Points, Lines and Planes

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Presentation transcript:

Points, Lines and Planes Thanks Mrs. Nicole Takayama Smyrna High School

Point Has no dimension Represented by a small dot Named by a capital print letter No symbol

Example Say Write “ Point A” A A

Line Has one dimension Extends without end in two directions Represented by a line with 2 arrowheads Named by 2 points or a lowercase, script letter Symbol

Example Say Write “line AB” “line BA” “line BC” “line CB” “line AC” \ “line CA” “line d” AB BA BC CB AC CA d d C B A

Collinear Points Points on the same line

Example Say Write A, B, and C are collinear. They are all on d d “points A, B, and C are collinear. They are all on line d.” C B A

Noncollinear Points Points not on the same line

Example Say Write d “points A, B, and C are noncollinear. Points A and B are on line d, but point C is not.” A, B, and C are noncollinear. A & B are on d, but C is not. C B A

Plane Has 2 dimensions Flat surface that extends without end Represented by a parallelogram Named by three noncollinear points or capital, script letter No symbol

Example Say Write “plane ABC” “plane P” ABC P P C B A

Coplanar On the same plane Lines can be coplanar Points can be coplanar

Example Say Write “Points A, B, and C are coplanar. They lie on plane P.” A, B, & C are coplanar, they lie on P P C B A

Noncoplanar NOT on the same plane

Example Say Write “Lines AD and BC are noncoplanar. Line BC lies on plane ABC, while line AD passes through it. BC and AD are noncoplanar P C B A D

Segment Part of a line Has a beginning and an end (both are called endpoints) Named by the two endpoints Symbol

Example Say Write “segment AC” “segment CA” AC CA C A

Ray Part of a line Has a beginning (called an endpoint) and continues forever in ONE direction Named by the endpoint and one other point to show direction Symbol

Example Say Write “ray AB” “ray AC” AB AC C B A

Homework Complete the following worksheets Tutor side Problems 1 – 10 skip #8 Points, Lines and Segments side 1-15