Presentation on theme: "Geometry! What did the acorn say once it thrived up? This will certainly be fun... think it or not, however there will certainly be some occupational associated as well You will certainly need: –Three."— Presentation transcript:
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1 Geometry! What did the acorn say as soon as it flourished up? This will certainly be fun... believe it or not, but there will certainly be some work-related involved as well You will need: –Three Ring Binder –Loose Leaf Paper –Notebook We will certainly be maintaining a vocabulary notebook throughout the course of the year We will also be doing some labs, these you will certainly get done in class, so don’t concern
2 Lesson 1 Points, Lines, and Planes
3 Warm-Up Problems Vocabulary: The _________ Plane contains the x-axis and also y-axis. Kira needs to buy a piece of pipe that is 40% much longer than the 7 inch item she currently has actually. What size of pipe does she need? Evaluate: 4(n+6) For n=2 2n Simplify:
4 New Concepts Uncharacterized Term: a simple mathematical term that is not identified by utilizing various other mathematical terms –Examples: Points, Lines, and Planes * These terms are undefined because their interpretations are cyclic, that is, the word being characterized is in the definition. Point: names a location and has no size. It is stood for by a dot and also labeled utilizing a capital letter. P
5 Lines Line: a right path through no thickness which extends forever before. –T–There are an unlimited variety of points on a line –A–A line is named making use of either a lowercase letter or by making use of any two points situated on the line. Any collection of points on the exact same line are referred to as collinear points (A, C, and D) Points that carry out not lie on the exact same line are noncoldirect (A,B,C) A C D x B
6 Example Give 2 different names for this line Name three coldirect points and also three noncolstraight points F R D E y O
7 Planes!! Not that type...
8 This type of Plane! Plane: a flat surchallenge that has actually no thickness and exhas a tendency forever before –Named making use of either an upperinstance letter or three noncolstraight points that lie in the aircraft
9 Example 1 What are 2 Possible names for this plane?
10 More Planes Lines or points that lie in the very same aircraft are sassist to be coplanar If tright here is a line that does not lie on the aircraft that has other lines or points they are noncoplanar Void is the collection of all points, therefore, area contains all lines and all planes
11 Example 2 *Pretend tbelow is a line connecting points S and also P Indentify the coplanar and noncoplanar lines in this aircraft This airplane is an instance of an interarea which is the point or set of points in which 2 figures meet.
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–Plane interarea = line –Line intersection = suggest –Line on a airplane = line –Line with a aircraft = suggest
12 Example 3 Where perform lines l and m intersect on Plane X?
13 Example 4 Name every one of the different intersections you check out in the 2 diagrams and recognize wright here they meet
14 Bonus Concern Is it feasible to attract a allude on a piece of paper which would certainly fit the interpretation of point? No, given that the inked dot on a piece of paper has actually a provided location and also dimension. The interpretation of a point is that it has actually no dimension and also is a zero-dimensional object