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Geometry Ch 10 & 11 Fitch FMS
Terms in this set (28)
10-3 Radius of a Regular Polygon
The distance from the center to a vertex.
10-3 Apothem (a)
The distance from the center to a midpoint of a side; it is perpendicular to that side. Creates a right triangle with the radius.
10-3 Area of Regular Polygon
A = (1/2)ap [Not on SOL Formula Sheet]
10-3 In A = (1/2)ap, what is a and what is p?
apothem and perimeter
10-4 Given a scale factor of a/b, the ratio of Perimeters
a / b [a^1 / b^1 because perimeter is a 1-D measurement]
10-4 Given a scale factor of a/b, the ratio of Areas
a^2 / b^2 [because area is a 2-D measurement]
10-6 Concentric Circles
Coplanar circles that have the same center.
10-6 Central Angle
An angle whose vertex is the center of the circle.
10-6 Major Arc
Larger than a semicircle (> 180 degrees). Named with 3 letters.
10-6 Minor Arc
Smaller than a semicircle (< 180 degrees). Named with 2 letters.
10-6 Arc Length
A fraction of a circle's circumference
10-7 Sector of a Circle
The region bounded by an arc of the circle and two radii. Looks like a pizza slice.
10-7 Segment of a Circle
The region bounded by an arc and the segment joining its endpoints (chord)
A three-dimensional shape. Examples: prism, cylinder, pyramid, cone, sphere
A flat surface
A segment that is the intersection of two faces
The point that is the intersection of three or more edges
The intersection as a plane slices through a solid
11-2 Lateral Faces (Prism, Pyramid)
The side faces (not the top or bottom bases)
11-2 Height (h)
Length of an altitude.
11-3 Slant Height (l) of Pyramid
The distance along the center of a face
11-3 Slant Height (l) of Cone
The distance from the vertex to any point on the circle/base
11-3 Regular Pyramid
The base is a regular polygon and each face is a congruent isosceles triangle.
11-3 Lateral Area
The sum of the areas of the lateral faces or curved surfaces. Does NOT include the base(s).
11-3 Surface Area
The total area of all surfaces of a solid. DOES include the base(s).
The space that a solid occupies. Measured in cubic units.
Area of the Base. Choose an area formula depending on the shape of the base. May need to use A = (1/2)ap
11-7 Given a scale factor of a/b, the ratio of Volumes
a^3 / b^3 [because volume is a 3-D measurement]
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