CPM Geometry: Chapter 8 Flashcards

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.