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Questions and Answers
What is the primary characteristic of a composite figure?
What is the primary characteristic of a composite figure?
- It is composed of multiple shapes (correct)
- It is a polygon with missing sides
- It is always a 3D figure
- Shapes are always non-overlapping
How do you find the perimeter of a composite figure?
How do you find the perimeter of a composite figure?
- Subtract the perimeters of each individual shape
- Divide the perimeters of each individual shape
- Multiply the perimeters of each individual shape
- Add the perimeters of each individual shape (correct)
What is an important concept in working with composite figures?
What is an important concept in working with composite figures?
- Multiplication
- Subtraction
- Decomposition (correct)
- Addition
What is an example of a real-world application of composite figures?
What is an example of a real-world application of composite figures?
How do you find the area of a composite figure with overlapping regions?
How do you find the area of a composite figure with overlapping regions?
What is the primary characteristic of a solid state of matter?
What is the primary characteristic of a solid state of matter?
Which phase transition occurs when a substance changes from a solid to a gas?
Which phase transition occurs when a substance changes from a solid to a gas?
What is the term for the temperature at which a substance changes from a liquid to a gas?
What is the term for the temperature at which a substance changes from a liquid to a gas?
Which factor affects the melting and boiling points of a substance?
Which factor affects the melting and boiling points of a substance?
What is the result of an increase in the temperature of a substance?
What is the result of an increase in the temperature of a substance?
What is the term for the process of a substance changing from a gas to a solid?
What is the term for the process of a substance changing from a gas to a solid?
What type of chemical reaction involves the combination of two or more substances to form a new substance?
What type of chemical reaction involves the combination of two or more substances to form a new substance?
What is the result of a chemical reaction involving the breaking of chemical bonds?
What is the result of a chemical reaction involving the breaking of chemical bonds?
What is the term for the process of a substance changing from a liquid to a gas?
What is the term for the process of a substance changing from a liquid to a gas?
What is the term for the study of the physical changes of a substance, such as changes from solid to liquid or gas?
What is the term for the study of the physical changes of a substance, such as changes from solid to liquid or gas?
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Study Notes
Composite Figures
A composite figure is a geometric shape composed of two or more simpler shapes.
Characteristics
- Composed of multiple shapes
- Each shape can be a polygon, circle, or other geometric figure
- Shapes can be overlapping or non-overlapping
- Can be 2D or 3D figures
Types of Composite Figures
- Rectangles with cutouts
- Triangles with holes
- Polygons with missing sides
- Composite 3D shapes (e.g., a cube with a cylindrical hole)
Perimeter and Area of Composite Figures
- Perimeter: Add the perimeters of each individual shape
- Area: Add the areas of each individual shape
- Subtract the area of overlapping regions (if applicable)
Real-World Applications
- Architecture: designing buildings with complex shapes
- Engineering: designing machines with composite parts
- Art: creating complex shapes using simple shapes
Important Concepts
- Decomposition: breaking down a composite figure into simpler shapes
- Composition: combining simpler shapes to form a composite figure
- Spatial reasoning: visualizing and understanding the relationships between shapes
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