Exploring Similar Triangles

Similar triangle shortcuts
Explore below:
Spend some time exploring the applet.
In the top left corner you can see "S". This means that your triangles will share a common side. If you click the "S", you will see other abbreviations. Go through each of these and explore a bit. What is the minimum information you think you need to prove triangles are similar? [br][br]You can drag the points in triangle ABC in order to change the triangle. You can also alter some of the points in triangle DEF.[br][br]Once you have examined all of these shortcuts, select the right arrow at the top of the screen to move to part 2 of the worksheet.

Copy of Triangle Similarity Shortcuts

Observations and discoveries
The following are several "shortcuts" to proving whether or not two triangles can be similar. Some of these shortcuts are valid, but others are invalid.[br][br]Use your knowledge of similar polygons to find the valid shortcuts. [br]Check your understanding at the bottom of this worksheet.
AA Shortcut Test
S S Shortcut Test
S S S Shortcut Test
S S A Shortcut Test
S A S Shortcut Test
Check Your Understanding
Which shortcuts did you think were valid?[br]

Information