Geometry Basics Explained
Dive into the fundamentals of geometry, from points and lines to postulates and segments. Understand definitions and examples with clear illustrations. Explore concepts like collinearity, coplanarity, congruence, and more.
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Presentation Transcript
What did the acorn say after it grew up? Gee, I m a tree Geo: metry: Earth Measure Definition: A statement that explains the meaning of a word or phrase Format for notes: (Optional method) Term Definition Example
Point Most basic building block of geometry It has no size, only location Notation: Capital Letter Line A straight, continuous arrangement of infinitely many points Infinite length but no thickness Extends forever in two directions Notation: Naming any two points on line with line symbol above Plane Length and width but no thickness. Like a flat surface that extends infinitely along its length and width. Notation: Script Capital Letter P B AB A P
F Collinear On the same line Coplanar On the same plane Line Segment (segment) Two points called endpoints of the segment and all the points between them that are collinear with the two points. Notation: or AB E P R D Q B 5 cm A BA Endpoints AB or AB m Length: = AB 5 = AB 5 m
B A Congruent Segments Two segments with the same lengths Symbol: Notation: Marking figures D C = = AB CD or AB CD or AB CD m m Midpoint O Midpoint A point that divides the segment into two congruent segments N M MN NO
Ray A part of a line that begins at a point and extends infinitely in one direction. Notation:DA A D Opposite Rays Two rays that share the same endpoint and form a line. Notation: CB CAand A C B
5. Name congruent segments 1. Name a line 3. Name a ray 2. Name a line segment 4. Name a midpoint K A D L B F M C N
Postulate 1-1 Through any two points there is exactly one line. Line t passes through points A and B. Line t is the only line that passes through both points. B A Postulate 1-2 If two distinct lines intersect, then they intersect in exactly one point. t A B C AE DB and intersect at point C. D E
