Geometric Transformations

Reflection

100

WHAT IS REFLECTION? A: MOVEMENT B: MIRRORING C: CHANGING SIZE D: DIVISION

B

200

REFLECT POINT (9,2) OVER THE X-AXIS.

(9,-2)

300

REFLECT POINT (8,30) OVER THE Y-AXIS.

(-8,30)

400

REFLECT POINT (-99,200.2) OVER THE X-AXIS.

(-99,-2002)

500

WHAT HAPPENS TO THE X COORDINATE WHEN YOU REFLECT OVER THE Y-AXIS?

IT BECOMES TRANSFORMED INTO ITS OPPOSITE.

Dilation

100

WHAT IS DILATION? A: MOVEMENT B: MIRRORING C: CHANGING SIZE D: MULTIPLICATION

C

200

DILATE POINT (9,9) BY A SCALE FACTOR OF 1/2.

(4.5,4.5)

300

DOUBLE!!! DILATE POINT (8,5) BY A SCALE FACTOR OF 2.

(16,10)

400

DILATE POINT (1/9,99) BY A SCALE FACTOR OF 1/3.

(1/27,33)

500

IF YOU DILATE BY 2,  DOES THE X COORDINATE INCREASE IN VALUE OR DECREASE WHILE IN THE 2ND QUADRANT?

IT WILL INCREASE

Translation

100

WHAT IS TRANSLATION? A: MOVEMENT B: MIRRORING C: CHANGING SIZE D: ADDITION

a

200

TRANSLATE POINT (0,0) DOWN 8

(0,-8)

300

TRANSLATE POINT (1,9) UP 3

(1,12)

400

DOUBLE!!!  TRANSLATE POINT (1,1) LEFT 8

(-7,1)

500

WHAT HAPPENS TO THE Y COORDINATE WHEN YOU TRANSLATE BY A SCALE FACTOR OF (3,-5)

IT GOES DOWN

Rotation

100

DOUBLE! ROTATE POINT (-9.946, 0) BY 90 DEGREES CLOCKWISE

(0, -9.946)

200

ROTATE POINT (-990293493.992940394,0) THEN MULTIPLY EACH COORDINATE BY 0, THEN ROTATE 190 DEGREES, WHAT DO YOU GET?

(0,0)

300

ROTATE POINT (-9, 9) BY 90 DEGREES COUNTERCLOCKWISE.

(-9,-9)

400

IF YOU ROTATE POINT (1,1) BY 90 DEGREES CLOCKWISE 1,000 TIMES, WHAT DO YOU GET?

(1,1)

500

WHAT HAPPENS TO THE X COORDINATE WHEN YOU ROTATE POINT (3,2) 90 DEGREES COUNTER CLOCKWISE?

IT BECOMES NEGATIVE

2 steps

100

IF I ROTATE POINT (0,0) BY 180 DEGREES THEN DILATE BY A SCALE FACTOR OF (1-.08+.09-.01-1, WHAT DO I GET?

(0,0)

200

IF I ROTATE POINT (7,180) 180 DEGREES, THEN ROTATED IT 90 DEGREES CLOCKWISE, WHAT WOULD I GET?

(7,-180)

300

IF I ROTATE POINT (9,9) 180 DEGREES, THEN REFLECT IT OVER THE X-AXIS, WHAT DO I GET?

(-9,9)

400

DOUBLE POINTS!!!!!!!!!!! IF I STARTED WITH (3,4) THEN ROTATED X DEGREES, AND ENDED UP WITH(-6,4.5) AFTER DILATING BY A SCALE FACTOR OF 1.5. HOW MUCH DID I ROTATE BY?

270 CLOCKWISE, OR 90 COUNTERCLOCKWISE

500

IF YOU REFLECT COORDINATE (3,2) OVER THE X-AXIS, THEN ROTATE IT 180 DEGREES, WHAT ARE THE NEW COORDINATES?

(-3,2)