Section Introduction to Geometry: Points, Lines, and Planes

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Presentation transcript:

Section 9.1 - Introduction to Geometry: Points, Lines, and Planes pages 458 - 463

· B · C · A Point A point is a location in space. It has no size. It is noted with a capital letter. It is written as “Point A”, “Point B”,… . · A · C · B

Line A series of points that extend in opposite directions without end. A lowercase letter can name a line. A B n AB, BA, or n

Plane A A plane is a flat surface with no thickness. It contains many lines and extends without end in the direction of all its lines. Notated: ABCD or M Examples of planes: --floor, dry erase board, desktop B A C M D

Line segment or segment A segment is part of a line. It has two endpoints. PQ represents the length of PQ. Noted as PQ or QP Q P

Ray R C A ray is part of a line. It has exactly one endpoint. Name its endpoint first. Symbolic notation: CR

Use the figure to name each of the following: K J Four points Four different segments Five other names for KI Five different rays

Intersecting, Parallel, and Skew Lines Two lines intersect if they have exactly one point in common. Two lines that lie in the same plane and do not intersect are parallel. The symbol “ll” is used to indicate parallel lines. Segments and rays are parallel if they lie in parallel lines.

Skew lines are lines that do not lie in the same plane. Skew lines are not parallel and do not intersect. MN intersects NP MN ll QR MN and RS are skew M Q N R T V P S

You are looking directly down into a wooden crate You are looking directly down into a wooden crate. Name each of the following Four segments that intersect PT Three segments parallel to PT Four segments skew to PT

Homework pages 461 - 463 #s 1-24, 45-48 draw diagrams AND write problems and answers, EXCEPT for word problems and multiple-choice problems SHOW ALL WORK! failure to write problems and/or show work will result in either receiving partial or no credit