Transformations

Question 1

transformation

Answer 1

a change in the position, size, or shape of a figure

Question 2

pre-image

Answer 2

the original figure before transformation

Question 3

image

Answer 3

figure after the transformation

Question 4

rigid motion

Answer 4

transformation that preserves size and shape of figure

Question 5

translation

Answer 5

rigid motion in which every point is moved the same distance and the same direction (ALWAYS preserves the length and width of the figure)

Question 6

directed line segment

Answer 6

the distance and direction of the translation

Question 7

translation formula

Answer 7

(x,y) -> (x+a, y+b)

Question 8

reflection formula (across y-axis)

Answer 8

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

Question 9

reflection formula (across x-axis)

Answer 9

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

Question 10

reflection formula (y=x)

Answer 10

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

Question 11

line of reflection

Answer 11

the line that the reflection maps itself to itself

Question 12

congruence

Answer 12

figures have the same measure

Question 13

similar

Answer 13

congruent corresponding angles and corresponding sides lengths in proportion

Question 14

rotation

Answer 14

a transformation that maps points across a circular arc. It preserves the distance of each point to the center of the rotation

Question 15

rotation formula (-90 degrees)

Answer 15

(x,y) -> (y, -x) (remember negative means clockwise)

Question 16

rotation formula (180 degrees)

Answer 16

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

Question 17

rotation (90 degrees)

Answer 17

(x,y) -> (-y, x) (remember positive means counterclockwise)

Question 18

non-rigid transformation

Answer 18

a transformation that changes a figure’s size and/or shape.