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99 Cards in this Set

  • Front
  • Back
perpendicular bisector
a segment, ray, line or plane that is perpendicular to a segment at its midpoint
equidistant from two points
the same distance from one point as from another point
distance from a point to a line
the length of the perpendicular segment from the point to the line
equisidant from two lines
the same distance from one line as from another line
perpendicular bisector of a triangle
a line ray or segment that is perpendicular to a side of a triangle at the midpoint of the side
concurrent lines
three or more lines that intersect in the same point
point of concurrency
the point of intersection of concurrent lines
circumcenter of a triangle
the point of concurrency of the perpendicular bisectors of a triangle
angle bisector of a triangle
bisector of an angle of the triangle
incenter of a triangle
the point of concurrency of the angle bisectors of a triangle
median of a triangle
a segment whose end points are a vertex of the triangle and the midpoint of the opposite side
centroid of a triangle
the point of concurrency of the medians of a triangle
altitude of a triangle
the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side
orthocenter of a triangle
the point of concurrency of the lines containing the altitudes of a triangle
midsegment of a triangle
a segment that connects the midpoints of 2 sides of a triangle
indirect proof
a proof in which you prove that a statement is true by first assuming that its opposite it true. If this assumption leads to an impossibility then you have proved that the original statement is true
midpoint
the point divides or bisects a segment into 2 congruent segments
intersect
to have one or more points in common
congruent
to have the same measure
polygon
a plane that meets the following conditions. 1. is formed by 3 or more segments called sides, such that no 2 sides with a common endpoint are collinear 2. each side intersects exactly 2 other sides, 1 at each endpoint
sides of a polygon
3 or more segments
vertex(vertices)
each endpoint of a side of a polygon
convex
a polygon such that no line containing a side of the polygon contains a point in the interior of the polygpn
nonconvex, concave
a polygon that is not convex
equilateral polygon
polygon with all its sides congruent
equiangular polygon
a polygon with all of its interior angles congruent
regular polygon
a polygon that is equilateral adn equiangular
diagonal of a polygon
a segment that joins 2 nonconsecutive vertices of a polygon
parallelogram
a quadrilateral with both pairs of opposite sides parallel symbol is rhombus thing
rhombus
a parallelogram with 4 congruent sides
rectangle
a parallelogram with 4 right angles
square
a parallelogram with 4 congruent sides and 4 right angles
trapezoid
a quadrilateral with exactly one pair of parallel sides called bases. Nonparallel sides are legs.
bases of trapezoid
one pair of parallel sides
base angles of a trapezoid
2 pairs of angles whose common side is the base of a trapezoid
legs of a trapezoid
nonparallel sides of a trapezoid
isosceles trapezoid
a trapezoid with congruent legs
kite
a quadrilateral that has 2 pairs of consecutive congruent sides but inn which opposite sides are not congruent
polygon
a plane that meets the following conditions. 1. is formed by 3 or more segments called sides, such that no 2 sides with a common endpoint are collinear 2. each side intersects exactly 2 other sides, 1 at each endpoint
sides of a polygon
3 or more segments
vertex(vertices)
each endpoint of a side of a polygon
convex
a polygon such that no line containing a side of the polygon contains a point in the interior of the polygpn
nonconvex, concave
a polygon that is not convex
equilateral polygon
polygon with all its sides congruent
equiangular polygon
a polygon with all of its interior angles congruent
regular polygon
a polygon that is equilateral adn equiangular
diagonal of a polygon
a segment that joins 2 nonconsecutive vertices of a polygon
parallelogram
a quadrilateral with both pairs of opposite sides parallel symbol is rhombus thing
rhombus
a parallelogram with 4 congruent sides
rectangle
a parallelogram with 4 right angles
square
a parallelogram with 4 congruent sides and 4 right angles
trapezoid
a quadrilateral with exactly one pair of parallel sides called bases. Nonparallel sides are legs.
bases of trapezoid
one pair of parallel sides
base angles of a trapezoid
2 pairs of angles whose common side is the base of a trapezoid
legs of a trapezoid
nonparallel sides of a trapezoid
isosceles trapezoid
a trapezoid with congruent legs
kite
a quadrilateral that has 2 pairs of consecutive congruent sides but inn which opposite sides are not congruent
image
the new figure that results from the transformation of a plane
preimage
the original figure in the transformation of a plane
transformation
the operation that maps, or moves a preimage onto an image. there basic transformation are reflections, rotations and translations
isometry
a transformation that preserves lengths also called rigid transformaion
reflection
a type of transformation that uses a line that acts like a mirror with an image reflected in the line
line of reflection
a line that acts like a mirror with an image reflected in the line
line of symmetry
a line that a figure in the plane has if the figure can be mapped onto itself by a reflection in the line
rotation
a type of transformation in which a figure is turned about a fixed point
center of rotation
the fixed point a figure is turned about on
angle of rotation
the angle formed when rays are drawn from the center of rotation to a point and its image
rotational symmetry
a figure in the plane has roational symmetry if the figure can be mapped onto itself by a roation of 180 degrees or less
translation
a type of transformation that maps every two points P and Q in the plane to point P' and Q' so that the following properties are true. 1. PP'=QQ' 2. PP' parallel QQ' and are collinear
vector
a quanity that has both direction and magnitude and is represented by an arrow drawn between 2 points
initial point
the starting point of a vector
terminal point
the ending point of a vector
component form
the form of a vector that combines the horizontal and vertical components of the vector
glide reflection
a transformation in which every point P is mapped onto a point P" by the following 2 steps 1. a translatoin maps P onto P' 2. a reflection in a like k parallel to the direction of the translation maps P' onto P"
composistion
the result when two or more transformations are combined to produce a single transformation. Ex. glide reflection
freeze pattern or border pattern
a pattern that extends to the left and right in such a way that the patter can be mapped onto itself by a horizontal translation
parallel lines
two lines that are coplanar and do not intersect. symbol is ||
ratio
the quotient a/b if a and b are two quanities that are measured in the same unit. Can also be written as a:b
proportion
an equation that equates two ratios ex. a/b=c/d
extremes
the first and last terms of a proportion
means
the middle terms of a proportion
similar polygons
2 polygons such that their corresponding angles are congruent and the lengths of correspond by sides are proportional. the symbol for "is similar to" is ~
scale factor
the ratio of the lengths of 2 corresponding sides of 2 similar polygons
dilation
a type of transformation
reduction
a dilation with O<K<1
enlargment
a dialtion with K>1
pythagonean triple
a set of 3 positive integers a.b.c that sastify the equation c squared =a square+ b squared
special right triangle
right triangles whose angle measures are 45-45-90 or 30-60-90 degrees
trigonometric ratio
a ratio of the lengths of 2 sides of a right triangle
sine
a trigonometric ratio, abb. as sin.
cosine
a trigonometric ratio abb. as cos.
tangent
a trigonometric ratio abb. as tan
angle of elevation
when you stand and look up at a point in the distance, the angle that your line of sight makes with a line drawn horizontally
solve a right triangle
determine the measurments of all sides nad angles of a right triangle
magnitude of a vector
the distance from the initial point to the reminal point of a vector.
direction of a vector
determined by the angle that the vector makes with a horizontal line
equal vectors
two vectors that have the same magnitude and direction
parallel vectors
two vectors that have the same or opposite direction
sum of two vectors
the sum of U=<a1 b1> and v=<a2b2> is u+v=,a1+a2,b1+b2>