CPM Geometry: Chapter 8 Flashcards

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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?

One of the flat surfaces of a polyhedron, including the base(s). Signup and view all the answers

What is a vertex?

A point where two or more line segments or rays meet. Signup and view all the answers

What is an arc?

A connected part of a circle. Signup and view all the answers

What is a central angle?

An angle with its vertex at the center of a circle or polygon. Signup and view all the answers

What is the circumference of a circle?

The perimeter of a circle. Signup and view all the answers

What is a convex polygon?

A polygon in which any pair of points inside the polygon can be connected by a segment without leaving the interior. Signup and view all the answers

What is a diameter?

A line segment drawn through the center of a circle with both endpoints on the circle. Signup and view all the answers

What is an exterior angle?

When a side of a polygon is extended to form an angle with an adjacent side outside of the polygon. Signup and view all the answers

What is an interior angle?

An angle formed by two consecutive sides of the polygon. Signup and view all the answers

What is a linear scale factor?

The amount each side of a figure is multiplied by when the figure is proportionally enlarged or reduced in size. Signup and view all the answers

What is a non-convex polygon?

A polygon that is not convex. Signup and view all the answers

What is pi?

The ratio of the circumference of a circle to its diameter. Signup and view all the answers

What is a polygon?

A two-dimensional closed figure of three or more line segments (sides) connected end to end. Signup and view all the answers

What is a radius?

A line segment drawn from the center of a circle to a point on the circle. Signup and view all the answers

What is the radius of a regular polygon?

A line segment that connects the center of a regular polygon with a vertex. Signup and view all the answers

What is a regular polygon?

A convex polygon with congruent angles and congruent sides. Signup and view all the answers

What is a remote interior angle?

The two angles not adjacent to the drawn exterior angle of a triangle. Signup and view all the answers

What is a sector?

A region formed by two radii of a central angle and the arc between their endpoints on the circle. Signup and view all the answers

What is an apothem?

A segment that connects the center of a regular polygon to a point on one of its sides, and is perpendicular to that side. Signup and view all the answers

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.