Presentation on theme: "Welcome Back! Sit anywhere today – no more than four to a table and please put your backpacks beneath the table. Go ahead and grab a textbook now – I will."— Presentation transcript:
Welcome Back! Sit anywhere today – no more than four to a table and please put your backpacks beneath the table. Go ahead and grab a textbook now – I will get numbers from you in a few minutes.
I LOVE Geometry! During the course of the next several days, I am going to be talking to you frequently about how to succeed in geometry. You will need pencil and paper every day – whether you use binder paper or spiral notebook does not matter to me. You will need a compass and calculator on some days – you definitely need both at home and if you have a pencil pouch, that’s a great place to keep your compass. You can get your own compass or I will have them for $3 for those that want to get them from me. You will also need a spiral notebook for theorems – you will not need to bring that every day, but nothing else will go in that notebook other than theorems (70 pages or more)
I LOVE Geometry! First assignment this year – Who Am I? Just a little bit different this year … I want you to choose seven numbers and tell me why they are important to you. For example – three is important to me because that’s the number of kids I’ll have in college in January. 30 is important to me because that’s the number of years I’ve been married. Pi is important to me …. And I’ll let you try to guess why I think pie is a great number Be sure to include a picture of you in your seven number Who Am I paper!
Warm Up Graph each inequality. 1. x ≥ ≤ x ≤ 6 3. x
The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are the building blocks of geometry.
M K L N Points that lie on the same line are collinear. K, L, and M are collinear. K, L, and N are noncollinear. Points that lie on the same plane are coplanar. Any three points are always on the same plane. Three noncollienear points define a specific plane.
A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties. In geometry, we deal extensively with definitions, postulates and theorems.
Recall from algebra that a system of equations is a set of two or more equations containing two or more of the same variables. The coordinates of the solution of the system satisfy all equations in the system. These coordinates also locate the point where all the graphs of the equations in the system intersect.
An intersection is the set of all points that two or more figures have in common. Two lines intersect in one point (unless they are parallel or the same line). A line and a parabola could intersect in zero, one or two points. The next two postulates describe intersections involving lines and planes.
Use a dashed line to show the hidden parts of any figure that you are drawing. A dashed line will indicate the part of the figure that is not seen. Important concept – on first quiz
Note use of dashed lines and color to indicate which plane and or line is “visible” 1. Two opposite rays. 3. The intersection of plane N and plane T. 4. A plane containing E, D, and B. 2. A point on ray BC.
As part of your homework tonight, visit the website and look at the homework help on-line. Look at the top of page 9 in your textbook and enter the keyword given there (MG7 1-1). Watch the first video and answer this question – the instructor, Dr. Burger, names four co-planar points. I want you to name the other four co-planar points.