transformations

Question 1

image

Answer 1

figure after transformation

Question 2

preimage

Answer 2

figure before transformation

Question 3

translation

Answer 3

movement of figure

Question 4

what is the image of the paint (-1,7) when moved 4 units to the right and 5 units down?

Answer 4

(3,2)

Question 5

d’ is also called..?

Answer 5

d prime

Question 6

translations preserve…?

Answer 6

congruence

Question 7

translations move in which directions?

Answer 7

left,right,up,down

Question 8

(x-h)^2+(y-k)^2=r^2 is the formula for what?

Answer 8

a circle

Question 9

the center of a circle in the formula is represented by..?

Answer 9

(h,k)

Question 10

the radius in the circle formula is represented by..?

Answer 10

r

Question 11

what is a single translation equivalent to T 3,-1 followed by T -5,5

Answer 11

T -2,4

Question 12

The distance from the preimage to the line of reflection should be ______ to the distance from the line of reflection to the image.

Answer 12

equal

Question 13

the line of reflection will be the _____ of the segment connecting the preimage and the image points.

Answer 13

perpendicular bisector

Question 14

reflection of the y axis results in…?

Answer 14

negating x

Question 15

___ doesn’t change when reflecting over y axis

Answer 15

y

Question 16

with a reflection of y=x, you do what the points?

Answer 16

flip x and y

ex. (a,b)—->(b,a)

Question 17

a reflection over the x axis results in what change of the preimage points?

Answer 17

negate y

ex. (a,b)—–>(a,-b)

Question 18

isometries are also known as..?

Answer 18

rigid motions

Question 19

Reflections are _____ which preserve congruence.

Answer 19

isometries

Question 20

isometry definition?

Answer 20

a transformation that preserves congruence

Question 21

an angle represented as positive comes from using a __________ rotation.

Answer 21

counterclockwise

Question 22

an angle represented as negative comes from using a ______ rotation.

Answer 22

clockwise

Question 23

rotating 90 degrees is the same as rotating _____.

Answer 23

-270 degrees

Question 24

rotating 180 degrees is the same as rotating ____.

Answer 24

-180 degrees

Question 25

rotating 270 degrees is the same as rotating _____.

Answer 25

-90 degrees

Question 26

what rotations will always bring us back to the start?

Answer 26

360,720,-360, etc. (degrees)

Question 27

rotating (a,b) 90 degrees results in...?

Answer 27

(-b,a)

Question 28

rotating (a,b) 180 degrees results in..?

Answer 28

(-a,-b)

Question 29

rotating (a,b) 270 degrees results in..?

Answer 29

(b,-a)

Question 30

you can find rotational symmetry of a shape by...?

Answer 30

360 degrees/# of sides in a shape

Question 31

rotational symmetry is..?

Answer 31

the # of degrees needed to rotate a shape in morder for it to remain symmetrical each time

Question 32

for rotation _____ matters.

Answer 32

orientation

Question 33

rotation of -110 is equivalent to what positive rotation?

Answer 33

250 degrees -110+360= 250

Question 34

which transformations are considered isometries?

Answer 34

translations, line reflections, rotations

Question 35

if we transform a polygon using a rigid motion, the new polygon will be _________ to the original.

Answer 35

congruent

Question 36

is a reflection orientation is ...? (preserved or not preserved)

Answer 36

not preserved

Question 37

Direct isometries preserve both...?

Answer 37

orientation and congruence

Question 38

Transformations that are considered direct isometries include...?

Answer 38

translations and rotations

Question 39

where will the dilation be centered at

Answer 39

the origin

Question 40

the scale factor represents the ___ in relation to the center of dilation

Answer 40

ratio

Question 41

if the scale factor is greater than 1 the figure becomes_____.

Answer 41

larger

Question 42

if the scale factor is between 0 and 1 the figure becomes _____.

Answer 42

smaller

Question 43

is there a scale factor that will produce a congruent figure?

Answer 43

yes, 1 or -1

Question 44

to find scale factor we can sue what formula?

Answer 44

image/ preimage= k or k(image)= preimage k= scale factor

Question 45

dilations preserve ____ but not _____.

Answer 45

angle measures, distance

Question 46

(2,4) gets dilated by 4 what is the image?

Answer 46

(8,16)

Question 47

(2,4) gets dilated by 1/2 what is the image?

Answer 47

(1,2)

Question 48

a dilation of scale factor 2 followed by translation of 3 units right can be written as..?

Answer 48

(2x+3,2y)