# Perpendicular Bisectors - Page 3

Questions

- Describe and write an equation for the locus of points equidistant form #A(a_x, a_y) and B(b_x,b_y)#? Test what you derived for #P_A(-2,5) and P_B(6,1)? #
- A line segment is bisected by a line with the equation # -7 y + 5 x = 1 #. If one end of the line segment is at #(1 ,4 )#, where is the other end?
- A line segment is bisected by line with the equation # 6 y + 7 x = 4 #. If one end of the line segment is at #(2 ,4 )#, where is the other end?
- A line segment is bisected by a line with the equation # 4 y - 6 x = 8 #. If one end of the line segment is at #( 7 , 3 )#, where is the other end?
- A triangle has corners at #(5 , 4 )#, ( 7, 1 )#, and #( 1, 3 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- A line segment is bisected by a line with the equation # 2 y + x = 7 #. If one end of the line segment is at #( 5 , 3 )#, where is the other end?
- A line segment is bisected by a line with the equation # - 6 y + 5 x = 4 #. If one end of the line segment is at #( 2 , 5 )#, where is the other end?
- A triangle has corners at #(5 , 3 )#, ( 7 ,8)#, and #( 2, 1 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- A triangle has corners at #(2 , 8 )#, ( 2, 3 )#, and #( 5, 4 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- A line segment is bisected by a line with the equation # 8 y + 5 x = 4 #. If one end of the line segment is at #( 2 , 7 )#, where is the other end?
- How do you find the equation of the perpendicular bisector of the segment joining the points A #(6, -3)# and B #(-2, 5)#?
- A triangle has corners at #(2 , 2 )#, ( 5, 6 )#, and #( 1, 4 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- How do you find the equation of the perpendicular bisector of the points #(1,4)# and #(5,-2)#?
- Perpendicular bisectors of sides of a triangle are #y=-x+4#, #y=-3x+6# and #y=-1/2x+7/2#. What is its centroid?
- A line segment is bisected by a line with the equation # 9 y - 2 x = 5 #. If one end of the line segment is at #( 7 , 3 )#, where is the other end?
- Let A be #(−3,5)# and B be #(5,−10))#. Find: (1) the length of segment #bar(AB)# (2) the midpoint #P# of #bar(AB)# (3) the point #Q# which splits #bar(AB)# in the ratio #2:5#?
- What is the perpendicular bisector of a line with points at A #(-33, 7.5)# and B #(4,17)#?
- A line segment is bisected by a line with the equation # 5 y -4 x = 1 #. If one end of the line segment is at #(3 ,8 )#, where is the other end?
- A line segment is bisected by a line with the equation # 5 y -4 x = 1 #. If one end of the line segment is at #(3 ,4 )#, where is the other end?
- On the figure given show that #bar(OC)# is #sqrt(2)#?