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# MATH 3A CHAPTER 12 POWERPOINT PRESENTATION PowerPoint PPT Presentation

MATH 3A CHAPTER 12 POWERPOINT PRESENTATION. GEOMETRY AND IMAGINATION. LEARNING TARGETS. AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO: IDENTIFY HOW GEOMETRIC FIGURES INTERSECT IN SPACE. WRITE EQUATIONS FOR LOCI. CONNECT SIMPLE AND COMPOUND LOCI. DESCRIBE COMPOUND LOCI.

MATH 3A CHAPTER 12 POWERPOINT PRESENTATION

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## MATH 3A CHAPTER 12 POWERPOINT PRESENTATION

GEOMETRY AND IMAGINATION

### LEARNING TARGETS

• AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO:

• IDENTIFY HOW GEOMETRIC FIGURES INTERSECT IN SPACE.

• WRITE EQUATIONS FOR LOCI.

• CONNECT SIMPLE AND COMPOUND LOCI.

• DESCRIBE COMPOUND LOCI.

### LINES IN THE PLANE AND IN SPACE

• IN THE PLANE: FOR A 2-D FIGURE, IT IS EASY TO THINK ABOUT LINES LIKE A RADIUS OR A DIAMETER. THE LOCUS OF POINT FROM A GIVEN CENTER IS A CIRCLE.

• IN SPACE: THE LOCUS OF POINTS IN SPACE AT EQUAL DISTANCES FROM A GIVEN POINT IS A SPHERE.

### Loci In The Coordinate Plane

• Think of parallel lines, horizontal lines, vertical lines. When they are on a graph, the locations of the points can be used to solve many problems.

• Finding a midpoint, the equidistant locus, perpendicular bisectors, locus of points that forma circle. All of this is how we discover the loci in the coordinate plane.

• r² = x² + y²

### COMPOUND LOCI

• YOU HAVE LEARNED HOT TO VISUALIZE LOCI, NOW WE WILL LOOK AT LOCI THAT SATISFY MORE THAN ONE CONDITION AT A TIME CALLED COMPOUND LOCI.

### Can You Find Some Other Examples

• In machines

• In buildings

• In bridges

• In cars, trucks, planes, ships, busses

• In chemistry, medicine

• In nature?????