In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Where is point A' and D' located at??

Question

In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation.  Where is point A' and D' located at??

anonymous · Answer

this is the graph

e.mccormick · Answer

When you dialate with a factor of 2, do you know what you do to the points?

anonymous · Answer

no i dont understand at all. its my first day veiwing geometry

e.mccormick · Answer

Well, dialate can sort of be explained as scaling.  If I scale a drawing it means to change the size.  That help?

anonymous · Answer

yea but what do i do with the points, do i divide or anything is there an equation??

e.mccormick · Answer

Well, the factor is what the change in size is.  You do not devide by it when going from the original to the changed one.

e.mccormick · Answer

|dw:1435471251448:dw|
If a is a 1 by 1 box and b is a 4 by 4 box, then a is dialated to b by multiplying all points by 4.  However, if I wanted to dialate from b to a I would multiply all points by $\tfrac{1}{4}$.