September 2011 - Page 6 of 11 - Math and Multimedia

Geometer’s Sketchpad Essentials 7 – Translating Geometric Objects

September 16, 2011 GB Geometer's Sketchpad, Software Tutorials

This is the sixth part of the Geometer’s Sketchpad Tutorial Series. In this post, we are going to learn how to use the Translate command. First, we are going to make a translation vector using two points A and B, where A is the initial and B is the terminal point. We are going to construct a triangle and translate it using vector AB.

Instructions

1. Using the Point tool construct two points and use the Text tool to reveal their names. Be sure that they are named A and B. » Read more

One comment geometer's sketchpad, geometer's sketchpad polygon interior, geometer's sketchpad translation, geometer's sketchpad triangle interior, geometer's sketchpad tutorial

Properties of Similar Triangles Part 2

September 15, 2011 GB High School Geometry, High School Mathematics

This is the third and the conclusion of the Triangle Similarity Series. The two prequels are 1. Introduction to Similarity and 2. Properties of Similar Triangles (Part 1).

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In the previous post, we have investigated the properties of similar triangles. We have learned that corresponding angles of similar triangles are congruent. In this post, we are going to discuss more about the properties of similar triangles. If you have not performed the investigation in the previous post, you can use the applet below.

[iframe http://mathandmultimedia.com/wp-content/uploads/2011/09/propertiessimilartriangles.html 539 464]

You would have realized from your exploration of the applet that aside from the angles, there is also something unique about the side lengths of the corresponding sides of the triangles (check the Show/Hide Side Length check box above). We can verify they have the same ratio. That is, if triangle ABC is similar to triangle DEF, then the following relationships hold: » Read more

Leave a comment point of dilation, point of similarity, properties of similar triangles, similar triangles, triangle similarity

Real Numbers: A Summary

September 14, 2011 GB High School Mathematics

For the past two years, we have talked a lot about real numbers. We have talked about integers and its operations (addition, subtraction, multiplication, and division), we have discussed about rational and irrational numbers, and we have talked about their properties, structure, and wonders. In this post, we are going to summarize what we have learned about them.

Figure 1 - The Number Line

The set of real numbers is the collection of all rational and irrational numbers. By convention, real numbers are represented by a line infinitely long where the positive real numbers are situated at the right hand side of 0, while the negative are at the left hand side. It is also important to note that for each point on the number line, there exists a corresponding real number equivalent to it, and for each real number, there is a corresponding point on the line that represents it. » Read more

9 comments integers, irrational numbers, natural numbers, properties of real numbers, rational numbers, real number system, real numbers, venn diagram of real numbers

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