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1021 Lesson 6.notebook
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October 21, 2015
Mod 3 Les 6
Lesson 6: Dilations on the Coordinate Plane
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Look at these examples
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What are the coordinates of Point A and Point A'?
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Let's think!
What do you notice with Point A and the scale factor and the Point A'?
You can multiply the coordinates by the scale factor Fade out
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Shhhhhhh
With the observations we made, we can now develop a shortcut for finding the coordinates of dilated points when the center of dilation is the origin.
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Notice with this example, the horizontal distance from the yaxis to point A was multiplied by a scale factor of 2. Similarly, the vertical distance from the xaxis to point A was multiplied by a scale factor of 2.
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Here are the coordinates of point A = (3,2) and the dilated point A' = (6,4). The scale factor given was 2.
(x,y) > (2x,2y)
A=(3,2)
Coordinate Coordinate multiplied by scale factor Dilated Point
x 3 2 6
y 2 2 4
A' = (6,4)
Fade out
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Remember from lesson 5: The length of the segment |OB'| is the xcoordinate of the dilated point and the length of the segment |A'B'| is the ycoordinate of the dilated point.
Example:
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Now verify your answer on the coordinate plane.
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