Geometry - INVERSE AND IDENTITY TRANSFORMATION

For the Transformation T, write the T -1 . T : ( x , y ) (5 x , 5 y ) T -1 ( x , y )

( 1/5x , 1/5y )

In the translation T of the graph below, use the figure to describe the following transformation. T 3 : ( x , y )

( x + 9, y + 3))

For the Transformation T, write the T^ -1 . T : ( x , y ) ( x , y ) T^ -1 ( x , y )

( x , y )

In the translation T of the graph below, use the figure to describe the following transformation. T T -1 : ( x , y )

( x , y )

Under T, the point (0,2) gets mapped to (3,0). T -1 ( x , y )

( x - 3, y + 2)

For the Transformation T, write the T -1 . T: ( x , y ) ( x + 4, y + 3) T -1 ( x , y )

( x - 4, y - 3)

In the translation T of the graph below, use the figure to describe the following transformation. T -2 : ( x , y )

( x - 6, y - 2)

If T^ -1 ( x , y ) (½ x , y - 5), then T( x , y )

(2 x , y + 5)

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^1 =

A

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^2_°R^-2 =

B

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^6 =

B

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^2_°R^-4 =

D

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3 =

E

The Rotation R maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^2 =

F

In this lesson you will learn how to reverse a transformation.

False