Find the locus: What is the equation of the locus of points equidistant from the lines x = -4 and x = 2? x = -1.

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Presentation transcript:

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 Mr. Zampetti

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 AND ALSO 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 AND 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.

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 AND 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 1 st 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 tree AND 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 1 st 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 tree AND ALSO 6 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 tree AND 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 1 st 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 tree AND ALSO 6 feet from the stump. Locate all possible points of the buried treasure. 8 ft. 18 ft.

Practice 1: Parallel lines r and 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? A rs 8m 4m

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? P 10 units 3 un. 5 units

Homework Work Packet: Compound Locus