# Perpendicular Bisectors - Page 5

Questions

- A line segment is bisected by a line with the equation # -7 y + 3 x = 2 #. If one end of the line segment is at #( 2 , 1 )#, where is the other end?
- What is the difference between medians, perpendicular bisectors, and altitudes?
- What is the equation of the perpendicular bisector of the line segment through the points (-2, 6) and (2, -4)?
- A line segment is bisected by a line with the equation # -6 y + 3 x = 2 #. If one end of the line segment is at #( 5 , 1 )#, where is the other end?
- A line segment is bisected by a line with the equation # - 3 y + 6 x = 6 #. If one end of the line segment is at #( 3 , 3 )#, where is the other end?
- Prove the diagonals of a parallelogram bisect each other, i.e. #bar(AE) = bar(EC)# and #bar(BE) = bar(ED)# ?
- What is a perpendicular bisector?
- Construct a regular pentagon using a compass and straight edge? Explain each step
- A triangle has corners at #(8 , 4 )#, ( 4 , 3)#, and #( 6 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- A line segment is bisected by a line with the equation # - 3 y + 4 x = 6 #. If one end of the line segment is at #( 3 , 1 )#, where is the other end?
- A line segment is bisected by a line with the equation # - 5 y + 3 x = 1 #. If one end of the line segment is at #(6 ,4 )#, where is the other end?
- A triangle has corners at #(6 , 1 )#, ( 4, 2 )#, and #( 2, 8 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- Adina is constructing a line perpendicular to YJ←→. She has already constructed two arcs as shown. She moves her compass point to Y to construct an arc above the line. What must be true about the width of Adina’s compass opening before she draws the arc?
- A line segment is bisected by a line with the equation # -6 y + 9 x = 2 #. If one end of the line segment is at #( 5 , 1 )#, where is the other end?
- A line segment is bisected by a line with the equation # 4 y - 3 x = 2 #. If one end of the line segment is at #( 2 , 5 )#, where is the other end?
- A line segment is bisected by a line with the equation # 3 y - 7 x = 3 #. If one end of the line segment is at #(7 ,8 )#, where is the other end?
- A line segment is bisected by a line with the equation # -6 y - x = 3 #. If one end of the line segment is at #( 8 , 3 )#, where is the other end?
- A line segment is bisected by a line with the equation # 5 y + 2 x = 1 #. If one end of the line segment is at #(6 ,4 )#, where is the other end?
- A line segment is bisected by a line with the equation # - 2 y - 5 x = 2 #. If one end of the line segment is at #( 8 , 7 )#, where is the other end?
- A line segment is bisected by a line with the equation # 4 y + x = 8 #. If one end of the line segment is at #(5 ,2 )#, where is the other end?