It is a transformation that changes the size of a figure but not it's shape.
DILATION
What is the scale factor that would map line segment AB ,9 cm, to line segment A'B' ,18 cm?
k=2
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
A(3, 6) A' (9, 18) What is the scale factor?
k=3
If the scale factor is between 0 to 1 the figure will be?
reduced or smaller
A(12, 6) A' (2, 1) What is the scale factor?
k=1/6
If the scale factor is between 0 to 1 the figure will be?
enlarged or bigger
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)
The fixed point from which a figure is either enlarged or reduced by a given scale factor.
Center of Dilation
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
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).