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Questions and Answers
What is a circle?
The set of all points on a flat surface that are the same distance from a fixed point.
What is the center of a circle?
The fixed point from which all points on the circle are equidistant.
What is an edge in three-dimensional geometry?
A line segment formed by the intersection of two faces of a polyhedron.
What are faces in a polyhedron?
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What is a vertex?
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What is an arc?
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What is a central angle?
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What is the circumference of a circle?
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What is a convex polygon?
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What is a diameter?
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What is an exterior angle?
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What is an interior angle?
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What is a linear scale factor?
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What is a non-convex polygon?
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What is pi?
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What is a polygon?
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What is a radius?
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What is the radius of a regular polygon?
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What is a regular polygon?
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What is a remote interior angle?
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What is a sector?
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What is an apothem?
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Study Notes
Circle Geometry Terms
- A circle is defined as the collection of points on a flat surface equidistant from a fixed center point.
- The center of a circle is the fixed point from which each point on the circle is the same distance.
3D Geometry Terms
- An edge is formed by the intersection of two faces in a three-dimensional polyhedron.
- Faces refer to the flat surfaces that comprise a polyhedron, including its bases.
- A vertex is a point where two or more line segments or rays meet, which can apply to both two-dimensional shapes and three-dimensional solids.
Circle Characteristics
- An arc represents a continuous part of a circle.
- A central angle is formed when an angle's vertex is precisely at the center of a circle or polygon.
- Circumference is the distance around a circle, essentially its perimeter.
Polygon Definitions
- A convex polygon allows any interior points to connect without leaving its boundaries.
- The diameter is a line segment that runs through the center of the circle, connecting two points on its circumference.
Angles in Polygons
- An exterior angle is created when a side of a polygon extends and forms an angle with an adjacent side outside the shape.
- An interior angle is defined by two consecutive sides of a polygon.
Proportionality in Geometry
- The linear scale factor describes how each side of a geometric figure is scaled during proportional enlargement or reduction.
- A non-convex polygon is characterized as one that does not meet the criteria of convexity.
Mathematical Constants and Shapes
- Pi (π) is the ratio of a circle's circumference to its diameter.
- A polygon is a closed two-dimensional figure made up of three or more connected line segments.
Circle and Polygon Measurements
- A radius extends from the center of a circle to any point on the circumference.
- The radius of a regular polygon connects the center to a vertex within the shape.
- A regular polygon features both congruent angles and sides, ensuring symmetry.
Triangle Interior Angles
- Remote interior angles refer to the two angles in a triangle that are not adjacent to a specified exterior angle.
Circle Sector
- A sector is a pie-shaped region defined by two radii and the arc that connects their endpoints on a circle.
Apothem
- An apothem is a line segment from the center of a regular polygon perpendicular to one of its sides.
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Description
Test your knowledge of key terms and definitions from CPM Geometry Chapter 8. This quiz includes important vocabulary like circles, centers, edges, and faces. Perfect for students looking to reinforce their understanding of geometric concepts.