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Geometry Semester 2
Quadrilaterals, Similarity, Trig, Circles, and Area
46
Mathematics
10th Grade
05/29/2009

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Cards

Term
hypotenuse
Definition
the longest side of a right triangle
Term
quadrilateral
Definition
a polygon with 4 sides
Term
parallelogram
Definition
a quadrilateral with both pairs of opposite sides ||.
Term
rhombus
Definition
a parallelogram with four congruent sides
Term
rectangle
Definition
a quadrilateral with four right angles
Term
square
Definition
a parallelogram with four congruent sides and four right angles
Term
kite
Definition
a quadrilateral with two pairs of adjacent sides and no opposite sides congruent
Term
trapezoid
Definition
quadrilateral with exactly one pair of parallel sides
Term
isoceles trapezoid
Definition
trapezoid whose nonparallel sides are congruent
Term
two polygons are similar if:
Definition
their corresponding angles are congruent and their corresponding sides are proportional
Term
right triangle
Definition
triangle containing a right angle
Term
pythagorean theorem
Definition
in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse
Term
unit circle
Definition
a circle whose radius is one and whose center is at the origin
Term
initial side of an angle
Definition
where the rotation begins
Term
terminal side of an angle
Definition
where the rotation ends
Term
angle in standard position
Definition
vertex at origin, initial side on x-axis
Term
positive angles
Definition
direction of rotation is counter-clockwise
Term
negative angles
Definition
direction of rotation is clockwise
Term
cosine
Definition
x-coordinate of point P (on the unit circle)
Term
sine
Definition
y-coordinate of point P (on the unit circle)
Term
tangent
Definition
sin/cos
Term
cotangent
Definition
cos/sin
Term
secant
Definition
1/cos
Term
cosecant
Definition
1/sin
Term
radian
Definition
an angle whose included arc is the length of one radius of the circle
(approx 60 degrees)
Term
angle of elevation
Definition
formed by horizontal (bottom) and line of sight
Term
angle of depression
Definition
formed by horizontal (top!) and line of sight
Term
circle
Definition
the set of all points equidistant from a center point
Term
center
Definition
fixed point
Term
radius
Definition
fixed distance
Term
chord
Definition
segment connecting any two points on a circle
Term
diameter
Definition
a chord that goes through the center
Term
secant (to a circle)
Definition
a line intersecting a circle at two points
Term
tangent (to a circle)
Definition
a line that intersects a circle at exactly one point
Term
point of tangency
Definition
the intersection of a circle and a tangent
Term
arc
Definition
a portion of the circumference of a circle
Term
semicircle
Definition
an arc whose endpoints are the endpoints of a diameter
Term
minor arc
Definition
smaller than a semicircle
Term
major arc
Definition
larger than a semicircle
Term
congruent circles
Definition
have the same radius
Term
concentric circles
Definition
have the same center
Term
central angle
Definition
an angle whose vertex is the center of a circle
Term
inscribed angle
Definition
an angle whose vertex is on the circle
Term
angle inscribed in a semicircle
Definition
the sides of the angle intersect the circle at the endpoints of a diameter
[always a right angle!]
Term
circumference
Definition
perimeter of a circle
Term
surface area
Definition
the sum of the areas of all the faces of a 3D object
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