Module 5

by Leigh Hollyer

dog@uh.edu

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Table of Contents

Module 5

Why do we care?

More definitions

Similar Triangles

Theorem 1.5.1

Proof: Parallel implies Similar

Now, we need to see that the lengths of corresponding sides are proportional.

Now, looking at the same decomposition and changing our point of view on which side is the “base” and which line is the “height”, we’ll follow the text’s suggestion and find that

When you compare by division you find:

By a similar construction,

thus corresponding sides are proportional -- after using some algebra:

Show that DE is proportional to BC:

Similar implies Parallel

Theorem 1.5.2

Theorem 1.5.3

Theorem 1.5.4

Definition

Theorem 1.5.5

Notebook Problems

In Class Problems

Notebooks

working together IS allowed

Projects

Potential Projects

Some of the projects may be a little bit complicated. I’m expecting feedback from you as you work on them...

Next

Test One

Please expect to see

One Last Detail