Transformations: Rorations

Question 0

Pre-image

Answer 0

A figure that is about undergo a transformation

Question 1

Transformation

Answer 1

A function that moves something along a coordinate plane

Question 2

Image

Answer 2

A figure that has undergone my transformation

Question 3

Distance Preserving

Answer 3

The distance between the image of the two points is always equal to the distance between the pre-image of the two points

Question 4

Angle preserving

Answer 4

The angle measure of the image is equal to the angle measure of the pre-image

Question 5

What do you need to perform a rigid motion rotation?

Answer 5

The center of rotation and direction

Question 6

Rotational Symmetry

Answer 6

If a figure is it’s own image under a center of rotation and the center of the rotation is the only fixed point

Question 7

Order of Rotational Symmetry

Answer 7

The number of degrees a figure must be rotated in order to see an identical image

Question 8

Positive rotations

Answer 8

Counter-clockwise

Question 9

Negative Rotations

Answer 9

Clockwise

Question 10

How do u name the equivalent rotation?

Answer 10

Subtract the # by 360

Question 11

Rotation of 180 degrees

Answer 11

P(x,y)–p’(-x,-y)

Question 12

Rotation of 90 degrees

Answer 12

P(x,y)–p’(-y,x)

Question 13

Rotation of -90 degrees

Answer 13

P(x,y)–p’(y,-x)

Question 14

Rotation of 360 degrees

Answer 14

P(x,y)–p’(x,y) (orientation is maintained)

Question 15

Rotation of 270 degrees

Answer 15

P(x,y)–p’(y,-x)

Question 16

After a rotation, point P= P’

Answer 16

Point P and point P’ were two distinct points located on the same arc of rotation
Point P and point P’ were two distinct points equidistant from the center of rotation

Question 17

Rotation over the y axis (ry-axis)

Answer 17

P(x,y)–P’(-x,y)

Question 18

Rotation over the x axis (rx-axis)

Answer 18

P(x,y)–P’(x,-y)

Question 19

Reflection over the line y=x

Answer 19

P(x,y)–P’(y,x)

Question 20

Reflection in the line y=-x

Answer 20

P(x,y)–P’(-y,-x)

Question 21

Basic Rigid Motion (Isometry)

Answer 21

A transformation that preserves lengths of two segments and measures of angles

Question 22

Rigid motion

Answer 22

Performing a transformation that didn’t change the size/ angle measure

Question 23

R o=

Answer 23

R 180

Question 24

Name the order of rotational symmetry for regular polygons

Answer 24

360/N (# of sides)

Question 25

Point symmetry

Answer 25

180 degrees

Question 26

State the properties in which dilation | is altered

Answer 26

K1 ~ get larger

Question 27

``` Which is not an Isometry? Line reflection Dilation Point reflection Translation ```

Answer 27

Dilation

Question 28

``` Which property isn't preserved under ry=x? Distance Angle measure Orientation Parallelism ```

Answer 28

Orientation

Question 29

Which transformation is a direct Isometry?

Answer 29

(x,y)-(-x,-y) And (x,y)-(x-5,y-2)

Question 30

``` Which transformation does not preserve orientation? (x,y)-(-x,-y) (x,y)-(x+3,y+2) (x,y)-(2x,2y) (x,y)-(y,x) ```

Answer 30

(x,y)-(y,x)

Question 31

``` Which transformation is an example of a direct Isometry? rx, R40, D-3, ry=5 ```

Answer 31

R40

Question 32

``` Which transformation is an opposite Isometry? R-90 T3,-4 D-2 rx=1 ```

Answer 32

rx=1

Question 33

If KL=8 and K'L'=12, then the constant of dilation is ___ an the dilation is a (an) ____

Answer 33

12/8=3/2 3/2, enlargement

Question 34

Point reflections preserve

Answer 34

Distance, angle measure, and orientation

Question 35

Find the image under the same dilation

Answer 35

K= ending/beginning

Question 36

Find 3 transformations with the same output

Answer 36

R0, R180, D-1 | -x,-y

Question 37

Opposite isometries

Answer 37

Line reflections and glide reflections

Question 38

Direct isometries

Answer 38

Point reflections, rotations, and translations | Preserve orientation

Question 39

Composition

Answer 39

The output of one transformation is the input of another transformation. Work from right to left

Question 40

Dilation

Answer 40

Increasing size, perimeter changes, orientation is invariant

Question 41

Find D2 ° D1/2 of (x,y)

Answer 41

Inverse (x,y) - (x,y) | It stays the same

Question 42

If line a is parallel to line b, then ra ° rb (^ CTH) is equivalent to a

Answer 42

Translation

Question 43

ry=x ° rx produces a transformation that is

Answer 43

A direct Isometry

Question 44

When u dilate a pre-image the image's angles are in a

Answer 44

1:1 ratio

Question 45

``` What transformation doesn't preserve orientation? (x,y)-(-y,x) (x,y)-(-y,-x) (x,y)-(y+3,x) (x,y)-(-3y,-3x) ```

Answer 45

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