Vocabulary
Scale Factor
Finding coordinates before / after a dilation
100

It is a transformation that changes the size of a figure but not it's shape.

DILATION

100

What is the scale factor that would map line segment AB ,9 cm, to line segment A'B' ,18 cm?

k=2

100
Point A (20, 10) was dilated by a scale factor of 1/2. What are the coordinates of A'?
A' (10, 5)
200

It's the number you multiply the dimensions of an original figure by to produce a larger (enlargement) or smaller (reduction) version of that figure.

Scale Factor

200

A(3, 6) A' (9, 18) What is the scale factor?

k=3

200
Point A (2,3), Point B (1, -4), and Point C (1, 1) were dilated by a scale factor of 2. What are the coordinates of A', B', C'?
A'(4,6) B'(2, -8) C'(2, 2)
300

If the scale factor is between 0 to 1 the figure will be?

reduced or smaller

300

A(12, 6) A' (2, 1) What is the scale factor?

k=1/6

300
How do you find coordinates after a dilation?
Multiply the original coordinates by the scale factor.
400

If the scale factor is between 0 to 1 the figure will be?

enlarged or bigger

400
How do you find scale factor?
Divide the image length by the original length
400

A' (4, 8) B' (2, 5) C' (3,1) Determine the original coordinates if the scale factor is k = 1/2

A(8, 16) B(4, 10) C (6,2)

500

The fixed point from which a figure is either enlarged or reduced by a given scale factor.

Center of Dilation

500

If a figure is getting larger the scale factor is ________. If a figure is getting smaller the scale factor is ________.

greater than 1, k>1

less than 1 but greater than 0, 0<k<1

500

determine the original coordinates if k=12 A'(48, 60) B'(12, 24) C'(12, 36) D'(108, 72)

A(4 , 5) B (1, 2) C( 1, 3), D (9, 6).

M
e
n
u