Points, Lines, and Planes

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Presentation transcript:

Points, Lines, and Planes Lesson 1-1 Points, Lines, and Planes

Building Blocks of Geometry Definition: The three building blocks of geometry are points, lines, and planes.

Points B A C How to label: A * Use capital printed letters. Definition: It is the most basic building block of geometry. It has no size. It has only location. B A How to sketch a dot: C How to label: A * Use capital printed letters. * Never label two points with the same name (in the same sketch).

NEVER n Lines ? ? ? ? ? How to label: ? must have arrows at both ends Definition: It is straight continuous arrangement of infinitely many points. It has infinite length but no thickness. It extends forever in two directions. n NEVER ? How to sketch: ? must have arrows at both ends ? ? ? ? How to label: Possible Names: (Two methods) 1- small “script” letter 2- any two points on the line

Planes How to sketch: How to label: M P N * horizontal * vertical Definition: It has length and width but no thickness. It is a flat surface that extends infinitely along its length and width. horizontal “edges” M P How to sketch: N * horizontal * vertical * other vertical “edges” How to label: (Two methods) 1- capital “script” letter 2- any three points on the plane

Collinear Points Definition: Collinear points are points that lie on the same line. (The line does not have to be visible.) collinear non-collinear

Coplanar Definition: Points on the same plane Example: Points D, E, and F are coplanar. D F E

Line Segment Definition: Consists of two endpoints and all points between How to sketch: How to name:

Congruent Segments Definition: segments with equal lengths ( the symbol for congruent is = ) ~ Congruent segments can be marked with . . . Numbers are equal. Objects are congruent. AB: the distance from A to B ( a number ) AB: the segment AB ( an object ) Correct notation: Incorrect notation:

Midpoint Definition: A point that divides a segment into two congruent segments.

Segment Bisector Definition: Any object that divides a segment into two congruent parts which is the bisector of the segment.

Ray Definition: A ray begins at a point and extends infinitely in one direction. How to sketch: How to name: ( the symbol RA is read as “ray RA” )