Transformations

Transformations Math AllianceJanuary 11, 2011

What is Congruency? • Define it: • Alone • As a group • Ideas?

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?

Transformation • Definition: • Movement of points in the plane. • Notation: • The image of point P under a transformation will be written P’

Isometry • Definition: • 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?

Isometry • Definition: • 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

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

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

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

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

C B l A m n Make a conjecture: What will happen if you transform ABC over n and then over m?

C B l A m n Make a conjecture: What will happen if you transform ABC over n and then over l?

C 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

Transformations