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Exploring Rigid Transformations

Definitions

Rigid Transformations - A transformation that does not alter the size or shape of a figure.

Directions:

Play with each applet and answer the questions.

Translation by a Vector

What is a Translation?

A translation of an object is a _________________________ transformation because it keeps the same shape and size of the original.

The segment with the arrow on the end is called a vector. What happens when you move point E?

Describe what happens when you put point E on top of point D. Why do you think this happens?

Reflection

A reflection of an object is a _________________________ transformation because it keeps the same shape and size of the original.

The line of reflection is the ______________________ of the segments that connect corresponding vertices.

Select all that apply
  • A
  • B
Check my answer (3)

A reflection is a ____________________ (Select all that apply)

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Rotation about a Point (Slider)

What is a Rotation?

A rotation of an object is a ______________________ transformation because it keeps the same shape and size of the original.

In this applet the Center of rotation is what point?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

In this diagram the angle of rotation is which angle?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

In this applet the angle changes by 90 degrees. What happens when the angle of rotation is 360 degrees?