Printable version
Overlapping Triangles - Lesson 3-5
We didn't really learn much new today...rather, we just applied what we've already learned to triangles that are overlapping and therefore sharing some part(s). An example is below:
![Example of Overlapping Triangles proof](exampleProof1.gif)
We also went over the following example...can it be proved?
![Overlapping Triangles Example 1](example1.gif)
As we saw, we only have SSA here, which we know doesn't work (unless the triangle is a right triangle!). Clearly, in the diagram below, the triangles aren't congruent, even though the same parts are congruent!. Wouldn't it be nice if you had Sketchpad and a SmartBoard on your tests so that you could play with the figures like we can in class?!?
![Overlapping Triangles Example 1 Answer](example1Answer.gif)
Before going over homework, we also went through the following example...does it work?
![Overlapping Triangles Example 2](example2.gif)
As we saw, it does...I've pulled out the two triangles (in red and green below) because it sometimes helps to look at them in this way...
![Overlapping Triangles Example 2 Answer](example2Answer.gif)
Make sure to do all your homework as these things really take a lot of practice to get used to "seeing" the correct triangles...
|