Geometry CC
Assignment #59
Perpendicular Bisector
1. Construct line perpendicular to the given line and passing through point A.
A
2. Construct the perpendicular bisector of AB , BC , and CA on the triangle below.
What do you notice about the segments constructed?
A
B
C
3. Two homes are built on a plot of land. Both homeowners have dogs and are interested in
putting up as much fencing as possible between their homes on the land, but in a way
that keeps the fence equidistant from each home. Use your construction tools to
determine where the fence should go on the plot of land.
H2
H1
4. Where should the fence go if there is a third home added to the plot of land?
H2
H1
H3
R1.
R2.
R3.
R4.
Solve for x: 2x – 9 = x + 10
Factor: x2 – 16
Factor: 5x – 20
1
1
Solve for x: 4 𝑥 + 5 = 5 2