Geometry Notes Name ______________________________ 1.4 Rigid Motion in a plane Date ________________ Period ______ Objectives Transformation a change in the ___________, _________ , or _________ of a figure. – Rigid Transformation a change in the position of a figure that does not change its _______________ or – ________________. Pre-image the __________ figure in a transformation. – Image the _____________ figure in a transformation. – Isometry a transformation in which the original figure and its image are ___________. – A transformation maps the pre-image to the image. Arrow notation is used to describe a transformation, and primes (’) are used to label the image. Three Rigid Transformations Reflection (flip) Rotation (turn) Translation (slide) A transformation across a line, A transformation about a point P, A transformation in which all the called the line of reflection. Each called the center of rotation. Each points of a figure move the same point and its image are the same point and its image are the same distance in the same direction. distance from the line of distance from P. reflection. Example 1
Geometry Notes Name ______________________________ 1.4 Rigid Motion in a plane Date ________________ Period ______ Objectives Transformation – a change in the ___________, _________ , or _________ of a figure. Rigid Transformation – a change in the position of a figure that does not change its _______________ or ________________. Pre-image – the __________ figure in a transformation. Image – the _____________ figure in a transformation. Isometry – a transformation in which the original figure and its image are ___________. A transformation maps the pre-image to the image. Arrow notation is used to describe a transformation, and primes (’) are used to label the image. Three Rigid Transformations Reflection (flip) Rotation (turn) Translation (slide) A transformation across a line, called the line of reflection. Each point and its image are the same distance from the line of reflection. A transformation about a point P, called the center of rotation. Each point and its image are the same distance from P. A transformation in which all the points of a figure move the same distance in the same direction. Example 1