Dilation Exploration #1 (Positive Enlargement)
scale factor, r = 3
The dilated figure got bigger/smaller and dilated in the same/opposite direction as the preimage.
A
C
Dilation Exploration #2 (Negative Enlargement)
scale factor, r = ­2
The dilated figure got bigger/smaller and dilated in the same/opposite direction as the preimage.
A
C
B
B
Dilation Exploration #3 (Congruence Transformation)
scale factor, r = 1
The dilated figure ___________________________________.
A
C
B
Dilation Exploration #3 (Positive Reduction)
scale factor, r = .5
patty paper
The dilated figure got bigger/smaller and dilated in the same/opposite direction as the preimage.
Dilations
previous assignment:
P. 467, 8­10, 12­14, 15­23
P. 472, 9­18, P. 479, 8­11
Dilation: a transformation that may change the size of a figure.
• requires a scale factor (r) and a center point.
Scale Factor
• r = image__
preimage
• enlargement: image is larger than the preimage.
• reduction: image is smaller than the preimage.
• congruence transformation: image is the same size as the preimage.
• If r is positive the dilation moves in the same direction as the preimage from the center point.
• If r is negative, the dilation moves the opposite direction of the preimage from the center point.
enlargement, reduction, or congruence?
positive or negative dilation?
r = (preimage is the solid figure)
enlargement, reduction, or congruence?
positive or negative dilation?
r = enlargement, reduction, or congruence?
positive or negative dilation?
r = (preimage is the solid figure)
enlargement, reduction, or congruence?
positive or negative dilation?
r = enlargement, reduction, or congruence?
positive or negative dilation?
r = enlargement, reduction, or congruence?
positive or negative dilation?
r = enlargement, reduction, or congruence?
positive or negative dilation?
r = Dilation Worksheet