## ASA Illustrated

## ASA Explained

If two angles and the included side of one triangle are congruent to the
corresponding parts of another triangle, the triangles are congruent.

**The "included side" in ASA is the side between the angles being used. It is the side where the rays of the angles overlap.**Below is an example how to construct this. If you change anything in the construction, just click on the arrows on the top right to restore the construction.## Example: Constructing ASA

## Steps in constructing ASA

Now you try to draw a triangle congruent to the previous one You need to draw a triangle with side AB=8cm included between an angle CAB of 40 degrees and angle CBA of 30 degrees. Try to do this in the "Applet" below

- Use to draw segment AB and if you are requested to give the length type in 5
- Use to draw an angle at point A. (
**Hint: Always click last on the point where you want the angle.**) If requested for the angle size type in 40 degrees. Lastly you need to select clockwise or counterclockwise. The direction of movement is from the line in a clockwise or counterclockwise direction. - Use to draw a ray from point A through point B' that were created by the angle tool.
- Use to draw an angle at point B. If requested for the angle size type in 30 degrees.
- Use to draw a ray from point B through point A' that were created by the angle tool.
- Use to place point C at the intersection of the two rays
- Use to draw triangle ABC