Transformations

Question 1

Before a figure undergoes a transformation, it is called a __________________.

Answer 1

pre-image

Question 2

The figure you get after a transformation is called the _____________________.

Answer 2

image

Question 3

To perform a translation you must know the ____________ and ____________.

Answer 3

direction and distance

Question 4

The algebraic representation of a translation is: __________________________.

Answer 4

(x ± a, y ± b) where a is the distance to slide left or right, and b is the distance to slide up or down.

Question 5

To perform a rotation you must know the ____________ of rotation, the ____________ of
rotation, and the direction or rotation, which is either ____________ or ____________.

Answer 5

center of rotation

angle (or degrees) of rotation

clockwise or counter clockwise

Question 6

To perform a reflection you need to know the _______________________.

Answer 6

line of reflection

Question 7

The algebraic representation of a reflection over the x-axis is __________________________.

Answer 7

(x,-y)

You change the sign of the y coordinate.

Question 8

The algebraic representation of a reflection over the y-axis is __________________________.

Answer 8

(-x,y)

You change the sign of the x coordinate.

Question 9

To perform a dilation you need to know the __________________ and the __________________.

Answer 9

center of dilation

scale factor

Question 10

The algebraic representation of a dilation with the center at (0,0) is:_________________________
where _____ is the ___________ _____________.

Answer 10

(kx , ky)

where k is the scale factor

Question 11

The algebraic representation of a 90º counterclockwise rotation about the origin is __________:

Answer 11

(-y , x)

The original x and y coordinates swap places

Change the sign of the new x coordinate

Question 12

The algebraic representation of a 180º rotation about the origin is __________:

Answer 12

(-x , -y)

Change the sign of both the x and y coordinates

Question 13

The algebraic representation of a 270º counterclockwise or 90º clockwise rotation about the origin is __________.

Answer 13

(y , -x)

The original x and y coordinates swap places

Change the sign of the new y coordinate

Question 14

To create a scaled copy, we multiply all the lengths in the original figure by the same number. This number is called the _______ _________.

Answer 14

scale factor