Lesson 3: Perpendicular Bisectors
3.1 Perpendicular Bisector
3.2
Is point C the midpoint of segment AB?
3.3
Use compass and straightedge moves to construct the perpendicular bisector for segment PR.
3.4
Mr. Garcia made the construction below. He claims that point E is the midpoint of segment MN. Is he correct? Perform the perpendicular bisector construction to see if he is correct.
3.5 Is point X the midpoint? Prove your response with the perpendicular bisector construction.
3.6 Follow the steps below to preform the geometric construction
1) Create a circle centered at B, with radius BA
2) Create a circle centered at A with radius AC
3) Create a circle centered at C with radius CA
4) Circles A and C intersect at two points, place a point labeled D on the intersection furthest right.
5) Connect point D and B with a line