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Level 505

Matrices & Circles


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vector
the direction or course followed by an airplane, missile, or the like
initial point
starting point
terminal
ending point
matrix
a rectangular array of elements (or entries) set out by rows and columns
rows x columns
rows x columns or columns x rows?
element
each piece of information in a matrix
dimensions
the rows by columns of a matrix
when multiplying matrices, what must be the same?
same columns in first matrix as rows in second
same dimensions for both matrices
when adding matrices, what must be the same?
similar polygon
multiply a matrix by a scaler to create a _______
scaler
what operation is this: [2 3]x4=[8 12] ?
1 0
matrix for reflecting over x-axis
-1 0
matrix for reflecting over y-axis
0 1
matrix for reflecting about the line y=x
0 -1
matrix for rotating 90° about the origin COUNTER-clockwise
Circle
r= asin(theta)
radius
From center to a point on the circle.
Chord
is a segment whose endpoints lie on the circle
diameter
A straight line passing through the centre of a circle to touch both sides of the circumference.
Tangent Line
a line that intersects the circle at only one point on the same plane
Secant Line
a line that intersects a circle at two points on the same plane
tangent circle theorem #1
in a plane, a line that intersects a circle at exactly one point is perpendicular to the radius
tangent circle theorem #2
tangent segments from a common external point are congruent
Central Angle
an angle whose vertex is the center of the circle
semi circle
an arc with endpoints that are the endpoints of the diameter
minor arc
smaller than a semicircle; named by its endpoint with an arc symbol over the letters - ⌒
major arc
larger than a semicircle; named by its endpoints and another point between the endpoints on the arc with an arc symbol over the letters - ⌒
arcAB+arcBC=arcAC
arc addition postulate
congruent circles
circles with congruent radii
congruent arcs
arcs with the same measure or length
degrees
a unit for measuring angles