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