Chapter 7.1 Notes Transformations ReflectionRotationTranslation Preimage – is the object you start with Image – is the object you end up with once you.

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Presentation transcript:

Chapter 7.1 Notes Transformations ReflectionRotationTranslation Preimage – is the object you start with Image – is the object you end up with once you do the transformation Isometry – is a transformation that preserves lengths

Chapter 7.2 Notes Reflection Thm – A reflection is an isometry When we reflect, we reflect over a line Line of symmetry – is a line that when you reflect the figure over the line it is mapped onto itself Ex

Chapter 7.3 Notes Rotation Thm – rotation is an isometry When rotating, you rotate about a point.

Chapter 7.4 Translation Thm – a translation is an isometry A translation pushes a figure around

Chapter 7.5 Notes Composition Thm – the composition of two (or more) isometries is an isometry Glide Reflection – is a composition where you first do a translation and then do a reflection.

Chapter 7.6 Notes Frieze Patten or Border Pattern – is a pattern that extends to the left and right is such a way that the pattern can be mapped onto itself by a horizontal translation 1)TranslationT 2)180° rotationR 3)Reflection in a horizontal lineH 4)Reflection in a vertical lineV 5)Horizontal glide reflectionG