Sequences of Transformations 5.28 and 5.29

Translate and Reflect

100

Translate right 2 and down 1.

(x,y)->(x+2, y-1)

200

Translate left 3, up 1.

(x,y)->(x-3, y+1)

300

Translate right 4, reflect over the x-axis.

(x,y)->(x+4, -y)

400

Reflect over the y-axis, translate down 3.

(x,y)->(-x, y-3)

Rotate

100

Rotate 90 degrees clockwise with center at the origin.

(x,y)->(y, -x)

200

Rotate 90 degrees counterclockwise.

(x,y)->(-y,x)

300

Rotate 180 degrees with center at the origin.

(x,y)->(-x,-y)

Dilate

100

Dilate by scale factor of 2 and center at the origin.

(x,y)->(2x, 2y)

200

Dilate by scale factor 0.5 with center at the origin.

(x,y)->(0.5x, 0.5y)

300

Dilate by scale factor 5 with center at the origin.

(x,y)->(5x, 5y)

Congruent or Similar

100

CONGRUENT, SIMILAR, NEITHER?

(x,y)->(x+6, y-5)

CONGRUENT

(Translation)

200

CONGRUENT, SIMILAR, OR NEITHER?

(x,y)->(2x, 8y)

NEITHER

DISTORTION

300

CONGRUENT, SIMILAR, OR NEITHER?

(x,y)->(8x, 8y)

SIMILAR

(DILATION)

400

CONGRUENT, SIMILAR, OR NEITHER?

(x,y)->(-y,x)

CONGRUENT

(Rotation)

500

CONGRUENT, SIMILAR, OR NEITHER?

(x,y)->(-x,y)

CONGRUENT

(Reflection)

Random

100

In what city does the TV show “Mad Men” take place?

New York City

200

Which country is home to the most volcanoes?

Indonesia

300

Which water sport is the official state individual sport of Hawaii?

Surfing

400

Name both of Canada's national sports.

Lacrosse and hockey.

500

What was New York called before it officially became New York?

New Amsterdam