Final Review Sheet Answers are here!

Euler Line Day 1 Algebra Work Sample and Key Answer!

Hi everyone, please spend some solid time checking your algebra answers with the key provided below. The key is intentionally done with detailed steps so that you can use it as a sample for your algebra work for the project. Thanks to Kevin Rees for typing up the key with such details!

Unit3 Chapter Test Review Sheet Answer!

Review Sheet Answer is here!

Please check your answers before the test.

Clarification & Extension of Points, Lines & Planes

***** Extension on the maximum number of intersections between lines *****
In today's class, we explored the maximum number of intersections n number of lines can have. We could see the pattern from a table, and were able to find out the maximum intersections for 7 and 10 lines. However, the pattern quickly got to be too cumbersome to use for values of n that are quite large. Some of you in the classes came up with a great idea --- We need a FORMULA expressed in terms of n. Fortunately, we did come up with one after some inductive reasoning, which is the process of observing patterns and making conjectures.

Here's a classic math question that is related with the above process: "How many different handshakes are possible in a room with 'n' people?" Can you use the same reasoning process to figure out a formula?

***** Clarification on Points, Lines and Planes *****

A Line extends in one dimension. Any given two points determine a line. In other words, between any two points exists a line.
A Plane extends in two dimensions. Any given three points determine a plane. In other words, there is always a plane for any given three points.

Let's think about the following statements. Pick which words to use.

• Three points must/might/will never be collinear.
• Three points must/might/will never be coplanar.
• Four points must/might/will never be collinear.
• Four points must/might/will never be coplanar.
  

It is sometimes difficult to visualize the relationship between points, lines and planes without an actual model. So let's look into this model of a cube.

Geometry Goes Live on Blog!

The intention of this blog is for it to be a central warehouse of resources for the Geometry classes. Here, you can find homework assignments, handouts for class, as well as posting questions for discussion. I am still relatively new to blogging. So please bear with me if I am a little slow updating. It probably just means that I am still figuring out the kinks with how to use this blog.