Dilations & Similarity. Dilations Review. expansion. contraction. similar triangle. c ongruent angle. If the scale factor of a dilation is greater than 1, then it is a(n) ___________. If the scale factor of a dilation is less than 1, then it is a(n) ______________.
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If the scale factor of a dilation is greater than 1, then it is a(n) ___________.
If the scale factor of a dilation is less than 1, then it is a(n) ______________.
A dilation maps any triangle to a _______________________.
A dilation maps an angle to a ____________________.
How do you find the scale factor?
Can a dilation be an isometry?
..only when the scale factor is equal to 1
In a dilation, the preimage and image are similar.
For this reason, a dilation is an example of similarity mapping.
A dilation D(n,C) maps any segment to a parallel segment times as long.
A dilation takes a line not passing through the center of the dilation to a parallel line and leaves a line passing through the center unchanged.
If the scale factor is 2, what do you think the relationship would be between the perimeters and the areas of the rectangles?
Draw a dilation of a rectangle ABCD with vertices A(1,1), B(3,1), C(3,2) and D(1,2). Use the origin as the center and use a scale factor of 2.
6:12 or 1:2
2:8 or 1:4
A dilation D(n,C) maps any polygon to a similar polygon whose area is n2 times as large.
What is the ratio of the perimeters?
What is the ratio of the areas?
OLD TEXTBOOK!!!!!!!!!!!!!!! Page 596 (2-14 even, 18-22 even)