Chapters 9-10 Flashcards
a function that maps each point to its image along a vector (what is the name of the vector)
translation vector
the name of the line that a reflection or flip is made over
line of refection
a rotation about a fixed point
center of rotation
the angle made by the pre-image, center of rotation, and image points
angle of rotation
when a transformation is applied to a figure and then another transformation is applied to its image, the result is called this
composition of transformations
composition of a translation followed by a reflection in a line parallel to the translation vector
glide reflection
a figure has this if there exists a rigid motion-reflection, translation, rotation, or glide reflection-that maps the figure onto itself
symmetry
a figure in the plane has this if the figure can be mapped onto itself by a reflection in a line
line symmetry (or reflection symmetry)
the line a reflection if reflected over
line of symmetry (or axis of symmetry)
a figure in the plane has this if the figure can be mapped onto itself y a rotation between 0 degrees and 360 degrees about the center of the figure
rotational symmetry (radial symmetry)
the center of a figure with symmetry
center of symmetry
the number of times a figure maps onto itself as it rotates from 0 degrees to 360 degrees
order of symmetry
the smallest angle through which a figure can be rotated so that it maps onto itself
magnitude of symmetry (or angle of rotation)
a 3D figure has this if the figure can be mapped onto itself by a reflection in a plane
plane symmetry
a 3d figure has this if the figure can be mapped onto itself by a rotation between 0 degreed and 360 degrees in a line
axis symmetry
locus or set of all points in a plane equidistant from a given point
circle
the given point in a circle
center
a segment with endpoints at the center and on the circle
radius
a segment with endpoints on the circle
chord
a chord that passes through the center and is made up of collinear radii
diameter
coplanar circles that have the same center
concentric circles
the distance around the circe
circumference
C/d
pi
a polygon is ________in a circle if all of its vertices lie on the circle
inscribed
a circle is _________ about a polygon if it contains all the vertices of the polygon
circumscribed
an angle with a vertex in the center of the circle
central angle
a portion of a circle defined by two endpoints
arc
the shortest are connecting two endpoints on a circle
minor arc
the longest arc connecting two endpoints on a circle
major arc
an arc with endpoints that lie on a diameter
semicircle
arcs in the same or congruent circles that have the same measure
congruent arcs
arcs in a circle that have exactly one point in common
adjacent arcs
the distance between the endpoints along an arc measured in linear units
arc length
has a vertex on a circle and sides that contain chords of the circle
inscribed angle
has endpoints on the sides of an inscribed angle and lies in the interior of the inscribed angle
intercepted arc
a line in the same plane as a circle that intersects the circle in exactly one point
tangent
the point where a line and circle connect
point of tangency
a line, ray, or segment that is tangent to two circles in the same plane
common tangent
a line that intersects a circle in exactly two points
secant
parts of a chord
chord segments
a segment of a secant line that has exactly one endpoint on the circle
secant segment
a secant segment that lies in the exterior of the circle
external secant segment
segment of a tangent with one endpoint on the circle
tangent segment
