Every segment is congruent to its image.

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This presentation is the intellectual property of Christine Markstrum Chapter 7 Transformations.
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Presentation transcript:

Every segment is congruent to its image. Transformations are called RIGID if every image is congruent to its preimage. Rigid transformations can also be referred to as an ISOMETRY. Every segment is congruent to its image.

they preserve angle measures Isometries not only preserve lengths, but they preserve angle measures parallel lines, and betweenness of points

Translations Day 122 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

Basic Types of Transformations: Translations Reflections Rotations

Quadrant II Quadrant I (x,y) x-axis Quadrant III Quadrant IV y-axis

Object (pre-image) to Image (Before) (After) Before Transformation: After Transformation: (‘ = PRIME) A A’ C’ B C B’

Translations…

A translation "slides" an object a fixed distance in a given direction A translation "slides" an object a fixed distance in a given direction.  The original object and its translation have the same shape and size, and they face in the same direction. Objects that are translated are congruent. *The word "translate" in Latin means "carried across".

Translate the image by (x – 8, y + 2)

Translate the pre-image by (2x + 2, y – 3)

Find the image (x + 12, y – 17)

Translations are SLIDES!!! Remember: Translations are SLIDING on a graph!!! The shape doesn’t change at all. Translations are SLIDES!!!                                                                                                              

Coordinating Translations Task Classwork… Coordinating Translations Task