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Transformations Math Alliance January 11, 2011
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What is Congruency? Define it: Ideas? Alone As a group
A list of procedures and steps, or a lecture slide with media.
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When are 2 Shapes or Figures Congruent?
We’ve put congruency into words; now how could you show congruency? Develop a strategy with your table. Ideas? A list of procedures and steps, or a lecture slide with media.
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Transformation Definition: Notation: Movement of points in the plane.
The image of point P under a transformation will be written P’ An opportunity for questions and discussions.
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Isometry Definition: What types of isometry do you know?
Movements of points in the plane that preserve the distance between points: the distance between P and Q is equal to the distance between P’ and Q’. What types of isometry do you know? An opportunity for questions and discussions.
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Isometry Definition: Types:
Movements of points in the plane that preserve the distance between points: the distance between P and Q is equal to the distance between P’ and Q’. Types: Reflection Translation Rotation Glide reflection An opportunity for questions and discussions.
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Name the Transformation:
B C A = A’ D B’ D’ C’ Name the Transformation: Reflection
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Name the Transformation:
D’ C = C’ B A’ A D B’ Name the Transformation: Rotation
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Name the Transformation:
C’ B’ C B A’ D’ A D Name the Transformation: Translation
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Name the Transformation:
C B A D A’ D’ B’ C’ Name the Transformation: Glide Reflection
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Make a conjecture: What will happen if you transform
B l A m n Make a conjecture: What will happen if you transform ABC over n and then over m?
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Make a conjecture: What will happen if you transform
B l A m n Make a conjecture: What will happen if you transform ABC over n and then over l?
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Make a conjecture: What will happen if you reflect
B l A n Make a conjecture: What will happen if you reflect ABC over n and then over l?
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Homework: Read Section 11.1
Section 11.1 #’s: 1-10, 23, 25, 30, 38a, 38h, 40b, and 46 An opportunity for questions and discussions.
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