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Geometry | 12. Vocabulary
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Gravity
Vocabulary from Geometry's 12th Chapter, Extending Surface Area and Volume!
Terms in this set (31)
altitude
A perpendicular segment that joins the planes of the bases.
axis
Is the segment with the endpoints that are centers of the circular bases (of a cylinder).
base edges
The lateral faces that intersect at the base.
congruent solid
Have exactly the same shape and the same size; are similar solids that have a scale factor of 1:1.
cross section
The intersection of a solid and a plane.
composite solid
A three-dimensional figure that is composed of simpler figures.
Euclidean geometry
A geometrical system in which a plane is a flat surface made up of points that extend infinitely in all directions.
great circle
The intersection if the circle contains the center of the sphere.
isometric view
A polygon with sides and angles that are not congruent.
lateral area
Is the sum of the areas of the lateral faces (of a prism) (L).
lateral edges
Wherein lateral faces intersect each other.
lateral face
Faces that are not bases, in a solid figure.
non-Euclidean geometry
The study of geometrical systems that are not in accordance with the Parallel Postulate of Euclidean geometry.
oblique cone
A cone that is not a right cone.
oblique cylinder
A cylinder that is not a right cylinder.
oblique prism
A prism in which lateral edges are not perpendicular to the bases.
regular pyramid
Has a base that is a regular polygon and the altitude has an endpoint at the center of the base.
right cone
A cone with an axis that is also an altitude.
right cylinder
A cylinder with an axis that is also an altitude.
right prism
A prism with lateral edges that are also altitudes.
segment of a circle
The region bounded by an arc and chord.
similar solids
Have exactly the same shape but not necessarily the same size.
slant height
The height of each lateral face (l).
spherical geometry
The branch of geometry that deals with a system of points, great circles (lines) and spheres (planes).
topographic map
A representation of a three-dimensional surface on a flat piece of paper.
Formulas for Prisms
a. L.A. = P • H
b. S.A. = P • H + 2B
c. V = B • H
Formulas for Cylinders
a. L.A. = 2πr • H
b. S.A. = 2πr • H • 2πr^2
c. V = πr^2 • H
Formulas for Pyramids
a. L.A. = 1/2 P • l
b. S.A. = 1/2 P • l • B
c. V = 1/3 B • H
Formulas for Cones
a. L.A. = πrl
b. S.A. = πrl + πr^2
c. V = 1/3 πr^2 • H
Formulas for Spheres
b. S.A. = 4πr^2
c. V = 4πr^3/3
Formulas for Hemispheres
b. S.A. = 3πr^2
c. V = 2πr^3/3
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