# Perpendicular Bisectors - Page 6

Questions

- A line segment is bisected by a line with the equation # - 4 y + x = 1 #. If one end of the line segment is at #( 7 , 2 )#, 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 #( 8 , 3 )#, where is the other end?
- A triangle has corners at #(2 , 1 )#, ( 5 , 6)#, and #( 8 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- A line segment is bisected by a line with the equation # 4 y - 2 x = 5 #. If one end of the line segment is at #( 7 , 3 )#, where is the other end?
- Natasha is constructing the bisector of PQ¯¯¯¯¯PQ¯. She has already constructed an arc as shown. What should Natasha do for her next step?
- Q is the midpoint of GH¯¯¯¯¯¯ , GQ=2x+3, and GH=5x−5 . What is the length of GQ¯¯¯¯¯ ?
- 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 ,6 )#, 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 #( 7 , 5 )#, where is the other end?
- 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 #( 1 , 3 )#, where is the other end?
- A line segment is bisected by a line with the equation # 4 y - 2 x = 3 #. If one end of the line segment is at #( 5 , 6 )#, where is the other end?
- This question combines geometry and algebra. Refer to the geometrical construction, find the unknown values?
- In a triangle ABC, AB=AC and D is a point on side AC such that BCxBC=ACxCD. How to prove that BD=BC?
- A line segment is bisected by a line with the equation # 4 y + 3 x = 4 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?
- A line segment is bisected by a line with the equation # 4 y + 9 x = 8 #. If one end of the line segment is at #(5 ,2 )#, where is the other end?
- How do you construct perpendicular bisectors of a triangle?
- A line segment is bisected by a line with the equation # 3 y - 7 x = 2 #. If one end of the line segment is at #( 8 , 1 )#, where is the other end?
- A line segment is bisected by a line with the equation # -7 y + 3 x = 1 #. 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 # 9 y + x = 5 #. If one end of the line segment is at #( 7 , 4 )#, where is the other end?
- A line segment is bisected by a line with the equation # 3 y - 7 x = 2 #. If one end of the line segment is at #(7 ,3 )#, 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 #( 4 , 5 )#, where is the other end?