Section 9 1 Introduction to Geometry Points Lines

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Section 9. 1 Introduction to Geometry: Points, Lines, and Planes pages 458 - 463

Section 9. 1 Introduction to Geometry: Points, Lines, and Planes pages 458 - 463

Point • • A point is a location in space. It has no size.

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 B n AB, BA, or n • A series of points that

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

Plane • A plane is a flat surface with no thickness. • It contains

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

Line segment or segment • A segment is part of a line. • It

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

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: H K • Four points

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

Intersecting, Parallel, and Skew Lines • Two lines intersect if they have exactly one

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

You are looking directly down into a wooden crate. Name each of the following

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

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