Transformations Math Alliance January 11, 2011

What is Congruency? Define it: Ideas? Alone As a group A list of procedures and steps, or a lecture slide with media.

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.

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.

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.

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.

Name the Transformation: B C A = A’ D B’ D’ C’ Name the Transformation: Reflection

Name the Transformation: D’ C = C’ B A’ A D B’ Name the Transformation: Rotation

Name the Transformation: C’ B’ C B A’ D’ A D Name the Transformation: Translation

Name the Transformation: C B A D A’ D’ B’ C’ Name the Transformation: Glide Reflection

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?

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?

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?

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.