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54 Cards in this Set

  • Front
  • Back
geometry
the study of shapes, their relationships, and their properties
figure-ground perception
identify shape against background
perceptual constancy
recognize figure in other orientation
visual discrimination
find similarities and differences
visual memory
draw or describe object no longer in view
point
no dimension, yes location
line
straight and extends infinitely in two opposite directions, infinite collection of points, two points determine a line
plane
flat surface that extends infinitely in all directions, determined by three noncollinear points
collinear points
points that lie on the same plane (any two points are collinear)
noncollinear
if three or more points do not lie on a single line
coplanar
two or more points lie on the same plane (any two or three points are coplanar)
line segment
subset of a line that contains two points of the line (endpoints) and all points between them
ray
subset of a line that contains a specific point (endpoint) and all points on the same side of that point
intersect
two lines have exactly one point in common
perpendicular
two intersecting lines form right angles
concurrent lines
three or more lines intersect at a single point
parallel lines
two lines lie in the same plane and never intersect
skew lines
two lines do not intersect because they aren't on the same plane
angle
the union of two rays that have a common endpoint (vertex), and each ray is called a side
reflex angle
angle over 180*
straight angle
180*
adjacent angles
same vertex, common side, disjoint interiors
Hiele levels of reasoning
I. by resemblance
II. by attributes
III. by properties (relationships)
IV. formal
curve
set of points that you can trace without lifting your pencil
simple curve
trace the figure to never touch a point more than once
closed curve
starting point is the same as ending point
polygon
one of the subsets of simple, closed curves in the plane composed only of line segments
median
line segment of triangle, connects vertex to midpoint of opposite side
angle bisector
line segment of triangle, bisects an angle
perpendicular bisector
line segment of triangle, goes through the midpoint of a side and is perpendicular to that side
altitude
line segment of triangle, perpendicular, connects vertex to opposite side
centroid
point on a triangle where three medians meet
circumcenter
point on a triangle where three perpendicular bisectors meet, equidistant from all verticies
incenter
point on a triangle where three angle bisectors meet
orthocenter
point on a triangle where three altitudes meet
congruence
two polygons with equal corresponding angles and sides
trapezoid
quadrilateral with at least one pair of parallel sides
parallelogram
quadrilateral with both pairs of opposite sides parallel
kite
quadrilateral with two pares of adjacent sides that are congruent
rhombus
quadrilateral in which all sides are congruent
rectangle
quadrilateral in which all angles are congruent
square
quadrilateral in which all four sides and all four angles are congruent
diagonal
line segment the joins two nonadjacent verticies in a polygon with more than three sides
convex polygon
the line segment connecting any two points on the polygonal region lies entirely within the region
concave polygon
line segment connecting any two points in a polygonal region does not lie entirely within the region
regular polygon
all sides have same length and all interior angles have the same measure
exterior angle
angle formed by a side of a polygon and the extension of the side adjacent to that side
central angle
in a regular polygon, vertex at center of polygon and two sides connecting the center to adjacent verticies
circle
set of points in a plane that are all the same distance from a given point, the center
radius
line segment of circle that connects edge point to center
diameter
line segment of circle that connects two points and goes through the center
chord
line segment of circle that connects two points
tangent
line segment of circle that intersects at exactly one point
origin
0,0 on a graph