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Remember that a Transformation is the main category then a Translation, Reflection, and Rotation are sub-categories.

Additional Info

A change in the size or position of a figure.

Definition

Transformation Info

This is similar to the definition of congruent but they are DIFFERENT. Make sure you know BOTH the definitions of Transformation and Congruent.

Remember a translation (slide) left or down means y - ____ or x - ____. However, a translation (slide) right or up means y + _____ or x + ______.​

Additional Info

A movement (slide) of a figure along a straight line.​

Definition

Translations (slide) Info

Make sure you know the formulas in additional info. You might need it later ;).

A flip can be over the x-axis (horizontal line) or y-axis (vertical line).​ If your flipping over the x-axis, x stays the same, and y changes to the opposite. If your flipping over the y-axis, y stays the same, and x changes to the opposite.

​Subheader text

A transformation of a figure that flips across a line.​

Definition

Reflection (flip) Info

Make sure you know the formulas in additional info. You might need it later ;).

90° clockwise/270° counterclockwise = (y, -x).

180°clockwise/180° counterclockwise = (-x,-y).

270° clockwise/90° counterclockwise = (-y, x).

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Also, the negative sign means the opposite NOT that the number changes to a negative. For example, the opposite of 2 is -2 or the opposite of -9 is 9.​

​Subheader text

A transformation of a figure that is turned around a point.

Definition

Rotation (flip) Info

Make sure you know the formulas in additional info. You might need it later ;).

All shapes that are Flipped, Slid, or Turned should remain Congruent.​

Additional Info

Two shapes are congruent if they have the same size and shape.​

Definiton

Congruent Info

Make sure you know the formulas in additional info. You might need it later ;).

The End of Definitions Review.

For example problems review click on the link on the next slide.