Section 1
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Last updated
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Date created
Mar 1, 2020
Cards (56)
Section 1
(50 cards)
Rotation
a rigid transformation where each point on the figure is rotated about a given point
Reflection
rigid transformation in which each point in a geometric figure is at an equal distance on the opposite side of a given line (line of symmetry)
Exterior Angles
An angle formed by one side of triangle and the extension of another side
Rotational Symmetry
symmetry that occurs if a figure can be rotated less than 360° around a central point and still look the same as the original. The number of times a figure fits into itself in one complete rotation is called the order of rotational symmetry.
Image
figure after a transformation
Angle Bisector
A ray that divides an angle into two congruent angles
Corresponding Angles
Angles that are in the same position, but a different group of angles
Intersection
The set of points two or more geometric figures have in common.
Congruent
Two figures are congruent if and only if there exists one, or more, rigid motions which will map one figure onto the other.
Transversal
A line that intersects two or more lines in a plane at different points
Transformation
one to one mapping of points in a plane such that each point in the pre-image has a unique image and each point in the image has a pre-image
Plane
A flat surface made up of points that extends infinitely in all directions
Congruent segments
line segments whose lengths are equal
Skew Lines
Lines that do not intersect and are not coplanar
Midpoint
The point halfway between the endpoints of the segment.
Perpendicular Bisector
a perpendicular segment that bisects a segment
Euclidean Geometry
the study of plane and solid geometry based on definitions, undefined terms (point, line, plane) and the assumptions of mathematician Euclid
Parallel Lines
Coplanar lines that do not intersect. Their slopes are equal.
Line of Symmetry
- line dividing an image into two congruent parts that are mirror images of each other
Two-Dimensional Coordinate System
two axes at right angles to each other, forming a xy-plane, consisting of points (x, y)
Consecutive Interior Angles
Angles that are on the same-side of the transversal and are in between the parallel lines
Concurrent LInes
when three or more lines intersect at a common point
Collinear
Points that lie on the same line.
Composition of Transformations
combination of two or more transformations
Vertex
The common endpoint of an angle
Pre-Image
original figure prior to a transformation
Point of Rotation
point around which a figure is rotated (center of rotation)
Point Symmetry
180 degree rotation around a point
Parallel
Lines, segments, rays or planes that never intersect
Point of Concurrency
the point where concurrent lines intersect
Angle
Formed by two non-collinear rays that have a common endpoint
Symmetric Points
two points in a plane such that the line segment joining the points is bisected by a point or center
Segment Bisector
Any segment, line or plane that intersects a segment at it's midpoint.
Rigid Transformation (Isometric)
a transformation that preserves the size and shape of a figure
Reflectional Symmetry
symmetry in which one half of the image is a mirror image of the other over a line of reflection
Interior Angles
Angles that lie between two transversal that intersect the same line
Horizontal Reflectional (Line) Symmetry
reflectional symmetry about a horizontal line of reflection
Translation
rigid transformation moving all points in a geometric figure the same distance and the same direction
Perpendicular
Lines, segments,rays or planes that form right angles.
Midpoint of a Line Segment
the point halfway between the endpoints of a line segment
Coplanar
Points that lie in the same plane
Alternate Interior Angles
Angles that are on opposite sides of the transversal and are in between the parallel lines
Line
Made up of points and has no thickness or width.
Alternate Exterior Angles
Angles that are on opposite sides of the transversal and are outside the parallel lines
Perpendicular Lines
lines in the same plane that intersect at 90 angles whose slopes are opposite reciprocals,
Vertical Reflectional (Line) Symmetry
reflectional symmetry about a vertical line of reflection
Degree of Rotation
number of degrees a figure is rotated about the point (center) of rotation
Space
A Boundless 3-D set of all points
Point
A location - it has neither shape nor size
Dilation
a similarity transformation in which a figure is enlarged or reduced using a scale factor and a center of dilation
Section 2
(6 cards)