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Geometry 81-90
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Gravity
Terms in this set (23)
system of equations
a set of two or more equations containing the same variables
inverse sine
The measure of an angle whose sine ratio is known.
inverse cosine
The measure of an angle whose cosine ratio is known.
inverse tangent
The measure of an angle where the tangent is known
parallelogram method
A method of adding two vectors by drawing a parallelogram using the vectors as two of the consecutive sides; the sum is a vector along the diagonal of the parallelogram
head-to-tail method
a method of adding vectors in which the tail of each vector is placed at the head of the previous vector
Dilation
A transformation that changes the size of an object, but not the shape.
scale factor of a dilation
The multiplier used on each dimension of a figure to change it into a similar figure
reduction (contraction)
a dilation with a scale factor greater than 0 but less than 1
Enlargement (expansion)
a dilation with a scale factor greater than 1
center of dilation
in a dilation, the fixed point about which the figure is enlarged or reduced
Cross section
The intersection of a plane and a solid.
Cavalieri's Principle
If two solids lying between parallel planes have equal heights and all cross sections at equal distances from their bases have equal areas, then the solids have equal volumes.
(AE)(EB) = (CE)(ED)
If two chords intersect in a circle, then the products of the chord segments are equal.
If two figures have a scale factor of a:b then the ratio of their areas is
a2:b2
Isometry
The composition of two isometries is an isometry
composite transformation
a combination of transformations
glide reflection
the composition of a translation and a reflection across a line parallel to the translation vector
Tessellation
A repeating pattern of plane figures that completely cover a plane with no gaps or overlaps
regular tessellation
formed by congruent regular polygons
semiregular tessellation
A repeating pattern formed by two or more regular polygons in which the same number of each polygon occur in the same order at every vertex and completely cover a plane with no gaps or overlaps.
Translation
Composition of two reflections
Two reflections across two intersecting lines
A rotation about the point of intersection (the angle of rotation is twice the angle formed by the intersecting lines)
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