Transformations

Question 1

What do you do for reflection over the x axis?

Answer 1

(x,y) ➡ (x,-y)

Question 2

What do you do for reflection over the y axis?

Answer 2

(x,y) ➡ (-x,y)

Question 3

What do you do for reflection over y=x?

Answer 3

(x,y) ➡ (y,x)

Question 4

How do you rotate 90 degrees?

Answer 4

CCW (-y,x), CW (y,-x)

Question 5

How do you rotate 180 degrees?

Answer 5

(x,y) ➡ (-x,-y)

Question 6

What direction is rotation defaulted to?

Answer 6

CCW (Counter Clockwise)

Question 7

Clockwise/Counterclockwise

Answer 7

The directions in which something can move

Question 8

Congruent

Answer 8

Two figures are congruent if they have the same shape and size, or if one is matching with the mirror image.

Question 9

Pre-image/Image

Answer 9

The image is the final representation of the line, point, or figure after a transformation, and the preimage is the figure before the transformation.

Question 10

Orientation

Answer 10

Orientation is the angular position of an object such as a line, or a plane. This tells us how it is placed and what space it occupies.

Question 11

Origin

Answer 11

The origin is the point on a grid which is the point (0,0).

Question 12

Reflection

Answer 12

Reflection is when you have a given line and you reflect the figure around it.

Question 13

Translation

Answer 13

Translation is when you basically move the figure, but not rotate or flip it.

Question 14

Rotation

Answer 14

Rotation is when you have a given point to rotate the figure around.

Question 15

Rigid transformation

Answer 15

Rigid transformation is when you move and flip the object, but it does not change size or shape at all.

Question 16

Non-rigid transformation (dilation)

Answer 16

A non-rigid transformation is not rigid because the size of the object/figure will change, but NOT the shape.

Question 17

CW/CCW

Answer 17

Abbreviations for clockwise and counterclockwise.