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# geometry

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Tweet## Ashley Rowland

on 6 May 2010#### Transcript of geometry

Image: The new figure that results from the tranformation of a figure in a plane. Geometry terms Preimage: The original object before it is transformed. Transformation: The operation that maps, or moves, a preimage onto an image. Reflections

Rotations

Translations Isometry: A transformation that keeps the same size and shape of a figure but moves it to a new location. Reflection: A type of transformation that uses a line that acts like a mirror, called the line of reflections, with an image reflected in the line. Line of reflection: The line that is reflected over in a reflection Line of symmetry: The imaginary line where you could fold the image and have both halves match perfectly. Rotation: A type of transformation in which a figure is turned about a fixed point. http://www.hstutorials.net/math/geometry/definitions/rotation.htm Center of rotation: The fixed point that a figure is rotated around. 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 rotational symmetry if the figure can be mapped onto itself by a rotation of 180 degrees or less The image can be rotated some amount and it still looks the same Translation: A transformation in which an image is moved without loosing its proportions. Vector: A quantity that has both direction and magnitude, and is represented by an arrow drawn between two 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 is mapped by two steps; a translations and a reflection in a line parallel to the direction of the translation. Composition of transformations: The result when two or more transformations are combined to produce a single transformation. (Glide reflection) Frieze pattern (border pattern): A pattern that extends to the left and right in such a way that the pattern can be mappped onto itself by horizontal translation. Dialation: A type of transformation transformation in which a figure is enlarged or reduced using a scale factor ≠ 0, without altering the center. Scale factor: The ratio of the lengths of two corresponding sides of two similar palygons. http://www.cut-the-knot.org/Curriculum/Geometry/GlideReflection.shtml Ashley Rowland

Josh Mullis

Full transcriptRotations

Translations Isometry: A transformation that keeps the same size and shape of a figure but moves it to a new location. Reflection: A type of transformation that uses a line that acts like a mirror, called the line of reflections, with an image reflected in the line. Line of reflection: The line that is reflected over in a reflection Line of symmetry: The imaginary line where you could fold the image and have both halves match perfectly. Rotation: A type of transformation in which a figure is turned about a fixed point. http://www.hstutorials.net/math/geometry/definitions/rotation.htm Center of rotation: The fixed point that a figure is rotated around. 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 rotational symmetry if the figure can be mapped onto itself by a rotation of 180 degrees or less The image can be rotated some amount and it still looks the same Translation: A transformation in which an image is moved without loosing its proportions. Vector: A quantity that has both direction and magnitude, and is represented by an arrow drawn between two 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 is mapped by two steps; a translations and a reflection in a line parallel to the direction of the translation. Composition of transformations: The result when two or more transformations are combined to produce a single transformation. (Glide reflection) Frieze pattern (border pattern): A pattern that extends to the left and right in such a way that the pattern can be mappped onto itself by horizontal translation. Dialation: A type of transformation transformation in which a figure is enlarged or reduced using a scale factor ≠ 0, without altering the center. Scale factor: The ratio of the lengths of two corresponding sides of two similar palygons. http://www.cut-the-knot.org/Curriculum/Geometry/GlideReflection.shtml Ashley Rowland

Josh Mullis