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Find the locus:

- What is the equation of the locus of points equidistant from the linesx = -4 and x = 2?
- x = -1

Objective:

- To learn how to find the a compound locus

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:

- 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

- Step 1: Draw the diagram showing the information in the 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.

8 ft.

18 ft.

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.

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 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

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 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.

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.

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 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.

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.

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?

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

- Work Packet: Compound Locus

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