# Exploring Converse of Isosceles Triangle Theorem

- Author:
- Tim Brzezinski

- Topic:
- Angles, Geometry, Isosceles Triangles, Triangles

## In the GeoGebra Geometry app window below:

1. Use the ANGLE WITH GIVEN SIZE tool to construct an angle with side that measures degrees and has a vertex at

*. Notice is the name of the slider you see. 2. After doing so, use the RAY tool to construct***A****ray****. The silent video show how you can do both of these steps below.***AB'*## Keep going: More directions appear below this applet.

3. Use the ANGLE WITH GIVEN SIZE tool to construct an angle with side that measures degrees and has a vertex at

**. After selecting this tool again, make sure to select***B**then***A**,*B*,**in that order**, and make sure to rotate degrees**clockwise.**4. After doing so, use the RAY tool to construct**ray****. 5. Now use the INTERSECT tool to plot the point where the two rays (you constructed in steps (2) and (4) intersect. GeoGebra should label this point as***BA'***. 6. Right click on each ray and uncheck SHOW OBJECT to hide it. Do the same for***C***and***B'***. 7. Use the POLYGON tool to construct . 8. Use the DISTANCE or LENGTH tool to measure the lengths of segments and .***A'*What do you notice? (Be sure to select the MOVE tool again and move points ** A** and

**around!**

*B*