Google Classroom
GeoGebraGeoGebra Classroom

Bisecting Geometry!

Explore the line tools available and explain the differences between a line, a segment, and a ray in you own words.
Now, using the line tools, explain what a perpendicular line is. You will need to create any line with two points on it and then use the perpendicular line tool. What are its properties? (Use the angle tool to help you) Additionally, explain what a line bisector is. (Hint: break the word 'bisector' into two parts)

Your Turn!

With your understanding of lines, construct a line bisector between two points. Justify your construction using similar methods you explored in the previous activity. (Notice that you now have a new segment tool, try it out!) What other method(s) might you use to achieve the same outcome? Justify your response. (Hint: The circle tool may help you to construct guidelines)
For your final task, I would like you to split an angle in half. There is a perfect 60 degree angle here, use what you know about the given tools to make two 30 degree angles. (Hint: the Bisector tool is useful here) Can you think of another solution?

Optional Challenge Question

How do you think a perfect 60 degree angle can be constructed using only the given tools? You may use the line given but it is not strictly required.