Constructions 2 - Perpendicular Bisectors
To Construct a Perpendicular Bisector of a Segment:
- Add a Point to the segment that is not the bisector of the segment
- Use the Compass to create a circle that passes through that point and that has the endpoint farthest from that point as its center.
- Copy the circle from step 2 but make the other endpoint its center.
- Add Points where the circles from steps 2 and 3 intersect (2 points)
- Add a Segment that connects the 2 points you added in step 4
- Add a Point where the segments intersect (just so you can check your work)
Construct the Perpendicular Bisector of Segment AB (use the measure tool to check your work)
Construct the Perpendicular Bisector of Segment AB (use the measure tool to check your work)
What word belongs in the blank above?
Determine whether Point C is equidistant from A and B
Is Point C equidistant from Points A and B?
How do you know your answer from the question above?
What belongs in the blank above?
Divide Segment MN into 4 congruent segments
Construct the Perpendicular Bisector of Segment HD
Construct all the Medians of Triangle QUE *notice I gave you a couple more tools ;)
What do you notice about all of the Medians above?
Construct all the Perpendicular Bisectors of all the sides of Triangle TRI *notice I gave you a couple more tools ;)
What do you notice about all of the Perpendicular Bisectors above?
