Transformations

Question 1

pre-image

Answer 1

the original point

Question 2

image

Answer 2

the new point

Question 3

Translation (T)

Answer 3

move left, right, up, down

Question 4

circle equation

Answer 4

(x-h)² + (y-k)² = r²

Question 5

line of reflection, “mirror”

Answer 5

the line a shape is reflected across to create its mirror image; perpendicular bisector of the segment connecting the pre-image and image points

Question 6

Reflection (r)

Answer 6

flips a shape across a line

Question 7

reflection of x=y

Answer 7

switch x and y values

Question 8

reflection over x-axis

Answer 8

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

Question 9

reflection over y-axis

Answer 9

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

Question 10

isometry (rigid motion)

Answer 10

transformation that preserves congruence (angle measure, segment length, and orientation)

Question 11

quadrant I

Answer 11

(+, +)

Question 12

quadrant II

Answer 12

(-, +)

Question 13

quadrant III

Answer 13

(-, -)

Question 14

quadrant IIII

Answer 14

(+, -)

Question 15

reflection of y=-x

Answer 15

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

Question 16

positive rotation

Answer 16

counterclockwise rotation

Question 17

negative rotation

Answer 17

clockwise rotation

Question 18

all full rotations (360, -360, 720, -720)

Answer 18

end up in the same spot (same point/equal)

Question 19

R90° and R-270°

Answer 19

equal, (x, y)—>(-y, x)

Question 20

R180° and R-180°

Answer 20

equal, (x, y)—>(-x, -y)

Question 21

°

Answer 21

combustion symbol (not multiplication) (do right to left)

Question 22

degrees needed to rotate a shape to have symmetry (rotational symmetry - put point in center and draw a line from the center point to each point of the shape)

Answer 22

360/n

Question 23

which transformation is an opposite/indirect isometry? (orientation not preserved)

Answer 23

reflection

Question 24

which transformations are direct isometries? (orientation preserved)

Answer 24

rotations and translations

Question 25

dilation equation

Answer 25

(x,y) --> (kx, ky)

Question 26

k (scale factor)

Answer 26

the ratio in relation to the center of dilation (makes figure bigger or smaller)

Question 27

if the scale factor is greater than 1

Answer 27

the figure becomes larger

Question 28

if the scale factor is between 0 and 1

Answer 28

the figure becomes smaller

Question 29

scale factors that produce a congruent figure

Answer 29

k=1, k=-1

Question 30

image divided by pre-image

Answer 30

equals the scale factor/k

Question 31

to find pre-image after dilation

Answer 31

divide by the image by the scale factor

Question 32

transformation

Answer 32

a way of changing the size or position of a shape

Question 33

R270° and R-90°

Answer 33

equal, (x, y)—>(y, -x)

Question 34

x² Graph

Answer 34

Question 35

x^3 Graph

Answer 35

Question 36

√x Graph

Answer 36

Question 37

|x| Graph

Answer 37