Students will be able to define and apply translations.

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Presentation transcript:

Students will be able to define and apply translations. Lesson 2.2 Translations Students will be able to define and apply translations.

YouTube: Intro to Transformations https://www.youtube.com/watch?v=VJTxv-tRKj0 https://www.youtube.com/watch?v=NY2cDTpsvBA

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 ________________. Preimage – the __________ figure in a transformation. Image – the _____________ figure in a transformation. Isometry – a transformation in which the original figure and its image are ___________. Prime – a notation to identify new images being created. It looks like this: A’ or A’’ or A’’’ or A’’’’ size shape position size shape original resulting congruent

Translation is a rigid transformation Translation is a rigid transformation. The new image will be congruent (isometry) to the Pre-image. The new Image will have the same angles, shape, and size like the Pre-Image.

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Transformations Example: (x, y) ↦ (x+3, y)  RULE (5, 12) ↦ (5+3, 12) A transformation transforms, or maps, the original point to another point. Transformation uses a combination of operations (+, −, ÷, x) notation: ↦ “maps to” (it is a rule “arrow notation”) Example: (x, y) ↦ (x+3, y)  RULE (5, 12) ↦ (5+3, 12) ( 8, 12) new point

Transformation Translation (slide), Reflection (mirror), Rotation (turn) maintain the congruency of the shapes. Dilation (enlarge/reduce) does not maintain the congruency of the shapes.