A triangle has points A(2,1), B(3,4) and C(5,2) and a center of dilation at (0,0). It is dilated by a scale factor of 2. What are the coordinates of C'?
(10,4)
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If we wanted to figure out the center of dilation for two triangles, how could we find it?
Draw rays through each corresponding set of vertices and see where they intersect.
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What is the center of dilation in this image?
(0,0)
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S' is a dilation of S. Does this dilation have a scale factor greater than 1 or less than 1?
Greater than 1
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A dilation with a scale factor greater than 1 is called an __________
Enlargement
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If you dilate DEF with a center of dilation at (0,0) and a scale factor of 1/2, what are the coordinates of D'?
(1,3)
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A dilation with a scale factor between 0 and 1 is called a ____________
Reduction
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A shape is dilated by a scale factor of 3. How can we represent this algebraically? (x,y) -----> (____,____)
(x,y) -----> (3x,3y)
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What is the scale factor for this dilation?
2
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What is the scale factor of this dilation?
2
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If this shape is dilated by a scale factor of 3 with a center of dilation at (0,0), what are the coordinates of C'?
(3,6)
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A triangle is dilated by a scale factor of 1/2. How can we represent this algebraically? (x,y) ----> (_____,____)