Dilating points example
Khan Academy・2 minutes read
To plot the image of point A under a dilation with a scale factor, move three times further from point P in the same direction as point A. If the scale factor is 1/3 around the origin, move 1/3 of the distance from the origin in the same direction as point A.
Insights
- When dilating a point under a scale factor of three around a fixed point, the new position is determined by moving three times further from the fixed point in the same direction as the original point.
- Conversely, when dilating a point under a scale factor of 1/3 around the origin, the new position is found by moving 1/3 of the distance from the origin in the same direction as the original point.
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Recent questions
How do you plot a dilation image?
By moving a certain distance in the same direction.
Related videos
Summary
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Dilations: Scaling Points Around a Center
- To plot the image of point A under a dilation with a scale factor of three around point P, you need to move three times further from point P in the same direction as point A. For example, if point A is one unit down and two units to the left from point P, after dilation, you would move three units down and six units to the left to reach the new position, labeled as A prime.
- In another scenario, to plot the image of point A under a dilation around the origin with a scale factor of 1/3, you would move 1/3 of the distance from the origin in the same direction as point A. For instance, if point A is six units down and three units to the right from the origin, after dilation, you would move two units down and one unit to the right to reach the new position, labeled as A prime.
