Find the locus
Download
1 / 19

Find the locus: - PowerPoint PPT Presentation


  • 105 Views
  • Uploaded on

Find the locus:. What is the equation of the locus of points equidistant from the lines x = -4 and x = 2? x = -1. Compound Locus. Geometry Unit 7, Day 5 Ms. Reed. Objective:. To learn how to find the a compound locus. Definition.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Find the locus:' - latoya


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Find the locus
Find the locus:

  • What is the equation of the locus of points equidistant from the linesx = -4 and x = 2?

  • x = -1


Compound locus

Compound Locus

Geometry

Unit 7, Day 5

Ms. Reed


Objective
Objective:

  • To learn how to find the a compound locus


Definition
Definition

  • Compound Locus – a problem involving two or more locus conditions occurring at the same time

  • These different conditions are usually separated by “and” or “and also”


Problem
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the tree ANDALSO 6 feet from the stump.  Locate all possible points of the buried treasure.


Solving compound locus problems
Solving Compound Locus Problems

  • Step 1: Draw the diagram showing the information in the problem.


Problem1
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the tree ANDALSO 6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Solving compound locus problems1
Solving Compound Locus Problems

  • Step 1: Draw the diagram showing the information in the problem.

  • Step 2: Read to determine one of the needed conditions.


Problem2
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the treeAND ALSO 6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Solving compound locus problems2
Solving Compound Locus Problems

  • Step 1: Draw the diagram showing the information in the problem.

  • Step 2: Read to determine one of the needed conditions.

  • Step 3: Plot the 1st Locus Condition


Problem3
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the treeAND ALSO 6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Solving compound locus problems3
Solving Compound Locus Problems

  • Step 1: Draw the diagram showing the information in the problem.

  • Step 2: Read to determine one of the needed conditions.

  • Step 3: Plot the 1st Locus Condition

  • Step 4: Repeat steps 2&3 until all conditions are satisfied.


Problem4
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the treeAND ALSO6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Problem5
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the treeAND ALSO6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Solving compound locus problems4
Solving Compound Locus Problems

  • Step 1: Draw the diagram showing the information in the problem.

  • Step 2: Read to determine one of the needed conditions.

  • Step 3: Plot the 1st Locus Condition

  • Step 4: Repeat steps 2&3 until all conditions are satisfied.

  • Step 5: Place an X where the lines intersect, these are the points that answer the compound locus.


Problem6
Problem:

  • A treasure is buried in your backyard.  A dog house is 8 feet from a stump and 18 feet from the tree.  The treasure is equidistant from the dog house and the treeAND ALSO6 feet from the stump.  Locate all possible points of the buried treasure.

8 ft.

18 ft.


Practice 1

r

s

4m

A

8m

Practice 1:

  • Parallel lines rand s are 8 meters apart, and A is a point on line s.  How many points are equidistant from r and s and also 4 meters from A? 


Practice 2

3 un.

3 un.

5 units

P

10 units

Practice 2:

  • A given point P is 10 units from a given line.  How many points are 3 units from the line and 5 units from point P?


Homework
Homework

  • Work Packet: Compound Locus