Warm up

What type of transformation is shown? Write the algebraic representation.

Write the coordinates of the original triangle after reflection overX- axis:

Y-axis:

RotationsA turn around a center.

The distance from the center to any point on the shape stays the

same.

Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.

Rotational Symmetry

Rotate 90 Clockwise about the Origin

(Same as 270 Counterclockwise)

Change the sign of x and switch the order

x,y y, x

Rotate 90° clockwiseabout the origin

A( 7, 3) A'( , )

B(1, 4) B'( , )

C(3, 1) C '( , )

Rotate 90° clockwiseabout the origin

A( 7, 3) A' 3,7

B(1, 4) B' 4, 1

C(3, 1) C ' 1, 3

Rotate 180 clockwise about the origin

ONLY Change the signs

,,y yx x

Rotate 180° clockwise about the origin

Q( 8, 2) Q '( , )

R( 8, 9) R'( , )

S( 2, 2) S'( , )

T( 2, 9) T'( , )

Rotate 180° about the origin

Q( 8, 2) Q ' 8,2

R( 8, 9) R' 8,9

S( 2, 2) S' 2,2

T( 2, 9) T' 2,9

Rotate 270 clockwise about the Origin

Change the sign of y and switch the order

x,y y,x

Rotate 270° clockwiseabout the origin

E( 3, 2) ( , )

F( 6, 5) ( , )

G(0, 2) ( , )

Rotate 270° clockwiseabout the origin

E( 3, 2) E' 2, 3

F( 6, 5) F' 5, 6

G(0, 2) G ' 2,0

Rotation 180 degrees about the origin

Rotation 270 degrees about the origin Or 90 degree counter clockwise about the origin

Rotation 90 degrees about the origin

Write down the coordinates of the image after each transformation.

Write a rule to describe each transformation

90 degree rotation 180 degree rotation

HomeworkRotations HW

Worksheet