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Geometry Lesson 4-4 Applications of constructions and locus
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Make your study sheets for both units: constructions and locus!!!!
Study both construction and locus units!
Review old unit tests!!
Test Your Locus Acumen*!
This practice is meant to help you evaluate how much
about locus you really understand.
Questions numbered 1: basic understanding
Questions numbered 2: applied conceptual understanding
Questions numbered 3: applied concept to a new situation
Part1:
1. What is the locus of points equidistant from a single point?
2. What is the equation of the locus of points 3 units from the origin?
3. Describe where you are when you are the farthest away you can be from a radio station
with antennas that transmit to a range of 50 miles.
Part 2:
1. What is the locus of points equidistant from two points?
2. What is the equation of the locus of points equidistant from the points (1,1) and (5,1)?
3. If a man wants to walk so that he stays the same distance from a tree on his left and his
right, describe the path he walks as he is approaching the trees and walking away.
Part 3:
1. Give the equation of the line representing the locus of points one unit from the line x=-3.
2. Given the equation y=2x+2, give the equation for the locus of points equidistant from it
whose y-intercept is 1 unit from the given equations y-intercept.
3. Dad wants to erect a string of Christmas lights 7 feet from the center line of your straight
driveway that is 6 feet wide. Describe where the lights will be placed relative to the edge of
the driveway.
Part 4:
1. Give the equation of the line representing the locus of points equidistant from the two
lines y=7 and y=11.
2. Give the equation of the locus of points equidistant from the x-axis and y =-8.
3. If a hallway is 8 feet wide describe the where a person would walk if he or she were to
stay equidistant from both walls.
Part 5: (only has #3)
3. Bill is standing in a corner of a 70 foot by 70 foot square pool. If Bill starts swimming,
staying equidistant from the walls behind him, how far will Bill swim? (rounding to the
nearest foot.)
Part 6:
1. How many points are 3 units from a line and 4 units from a point on that line?
2. Bill and Ted are 8 feet apart how many points are there that are equidistant from both Bill
and Ted, and 6 feet from Bill?
3. Bill and Ted are seven feet apart. How many points are 12 feet from Bill and 4 feet from
Ted?
*Definition for acumen
- sharpness of mind: the ability to make quick accurate intelligent judgments about people or
situations
Go on-line to my website and check your answers and see how you rate!!
Locus Practice Key
Part1:
1. ___a circle_____
2. x2 + y2 = 9
3. I am on a “circle” 50 miles from the radio station
Part2:
1._a perpendicular bisector of the line segment___
2. x = 3
3. He walks in a straight line as described in question #1 of this section.
Part 3:
1. x = -4 and x = -2
2. y = 2x+1 and y = 2x+3
3. 2 rows of lights 4 ft. from the edge of the driveway
Part 4:
1. y = 9
2. y = -4
3. down the center of the hall
Part 5(only has #3)
3. 99 feet
Part 6:
1. 4
2. 2
3. 0
Rating scale: Add up the total points to all the questions you answered
correctly using the numbers of the questions as the point values.
33 – 30 points
You are a LOCUS MASTER!
29 – 23 points
You have a good understanding of locus, but a little more
practice you could be a MASTER!
22- 12 points
Danger Zone!!! You only think you are a LOCUS MASTER!
Seek out a LOCUS MASTER’S help! (Peer tutor or teacher)
Below 12 points:
What’s LOCUS??? Stay after school today!!!!!!
Room 206: 2:20 - 3:00 PM