Composite Figures in Geometry

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Questions and Answers

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?

  • 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?

  • Multiplication
  • Subtraction
  • Decomposition (correct)
  • Addition

What is an example of a real-world application of composite figures?

<p>Designing buildings with complex shapes (B)</p> Signup and view all the answers

How do you find the area of a composite figure with overlapping regions?

<p>Add the areas of each individual shape, then subtract the area of overlapping regions (C)</p> Signup and view all the answers

What is the primary characteristic of a solid state of matter?

<p>Particles are closely packed (C)</p> Signup and view all the answers

Which phase transition occurs when a substance changes from a solid to a gas?

<p>Sublimation (B)</p> Signup and view all the answers

What is the term for the temperature at which a substance changes from a liquid to a gas?

<p>Boiling point (D)</p> Signup and view all the answers

Which factor affects the melting and boiling points of a substance?

<p>Pressure (B)</p> Signup and view all the answers

What is the result of an increase in the temperature of a substance?

<p>Expansion (D)</p> Signup and view all the answers

What is the term for the process of a substance changing from a gas to a solid?

<p>Deposition (A)</p> Signup and view all the answers

What type of chemical reaction involves the combination of two or more substances to form a new substance?

<p>Synthesis (A)</p> Signup and view all the answers

What is the result of a chemical reaction involving the breaking of chemical bonds?

<p>Decomposition of a substance (A)</p> Signup and view all the answers

What is the term for the process of a substance changing from a liquid to a gas?

<p>Evaporation (A)</p> Signup and view all the answers

What is the term for the study of the physical changes of a substance, such as changes from solid to liquid or gas?

<p>Physics (C)</p> Signup and view all the answers

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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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