11.6 Congruence and Transformations

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Presentation transcript:

11.6 Congruence and Transformations

Transformations 3 ways to “move” a figure preimage F F Translation Image

Transformations 3 ways to “move” a figure preimage Image F Rotation about a point

Transformations 3 ways to “move” a figure “maps” Image preimage Reflection in a line

Transformations preimage Image

Translation Reflection Rotation Orientation is the same Orientation is reversed Orientation is changed

Name the transformation Rotation

Name the transformation Translation

Name the transformation Reflection

Name the transformation Rotation

Name the transformation Reflection

Name the transformation Translation

Identify Congruency Two figures are congruent if the second can be obtained from the first by a series of rotations, reflections, and/or translations

Is ABC   A’B’C’ ?

Name the transformation that will map Tree A onto Tree B. Translation

Name the transformation that will map Tree A onto Tree C. Reflection

Name the transformation that will map Tree A onto Tree E. Translation

Name the transformation that will map Tree A onto Tree D. Rotation or Translated and Reflected

Watch Out There may be more than one combination of transformations that maps one figure onto another. 2 reflections over intersecting lines is the same as a rotation

Homework Page 537 (5-11) odd