Unit 7 Similar Triangles
Table of Contents
- 7.1 Ratio and Proportion
- 7.1 Ratios Exploration
- 7.1 Dilation of Transformers!
- 7.1 Exploring Scale Factor
- 7.1 Equivalent Ratios
- 7.1 Proportions in a Table and a Graph
- 7.2 Similarity Postulates for Triangles
- 7.2 AA Similarity Postulate
- 7.2 SAS ~ Postulate
- 7.2 SSS Similarity
- Pythagorean and similar triangles.
- Similar Right Triangles Animation
- 7.3 Similar Polygons
7.1 Ratios Exploration
Once you have predicted the height of the picture when the base is 7, 8, 9, and 10 units long, use this sketch to see how close you were to being correct!
7.2 AA Similarity Postulate
[color=#000000]The [/color][b][color=#0000ff]AA Similarity Postulate[/color][/b][color=#000000] states:[/color][br][br][i][color=#0000ff]If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. [/color][/i][br][br][color=#980000]Below is a visual that was designed to help you prove this theorem true in the case where both triangles have the same orientation. (If the triangles had opposite orientations, you would have to first [b]reflect[/b] the white triangle [b]about any one of its sides[/b] first, and then proceed along with the steps taken in the applet.) [/color][br][br][color=#000000]Feel free to move the locations of the [/color][color=#38761d][b]BIG GREN VERTICES[/b][/color][color=#000000] of either triangle before slowly dragging the slider. [/color][b] [/b][i][color=#ff0000]Pay careful attention to what happens as you do.[/color][/i]