Describe Translations Reflections and Rotations of 2 D Shapes on the Cartesian Plane (7)

Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries (ACMMG181)

LO: To describe translations, reflections and rotations on the Cartesian Plane

Know:

  • the basics transformations (translation, rotation and reflection)
  • the basics transformations (translation, rotation and reflection)

Understand:

  • that the property of shapes when transformations occur

Do:

    • I can translate, reflect or rotate 2-D shapes on the Cartesian Plane.

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Transformations

Translation

Reflection

Rotation

Translations can also be called “slides”.

The initial picture is the exact same as the finishing picture.

The easiest way to look for translations is to pick one point on the starting picture and pick the exact same point on the finishing picture and count the number of moves.

Reflections can also be called “mirror images”

The finishing picture is “flipped” from the initial picture.

The points from the reflected picture is exactly the same distance (equidistant) from the line of reflection as the initial picture.

The distance between the green, red and blue dots are the same from the initial image to the reflected image.

Rotations can also be called “spins”.

The finishing picture is rotated on a point.

Any points on a straight line is the same distance away from the point of rotation.

Transformation Videos

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