Today my teacher threw us a challenging curve ball during geometry. The type of problem he gave us revolved around the idea that the center of dilation was the origin, but the we move it. For example one of the problems is:
Suppose we have a △ABC with coordinates as follows: A( 3,5 ); B( 1,2 ); C( 6,1 ).
Now, suppose that △ABC undergoes a dilation of ½ about the point ( 10,10 ). How would you go about finding the coordinates for △A'B'C' with that type of scale factor? (Hint: How far would △ABC move if it were about the origin under a dilation of ½ about the origin? How far would it move towards the point ( 10,10 )?) How about a dilation with a scale factor of 3 about the point ( 3,4 )?
Basically, what would the coordinates of the 2 dilations be in the format of A( , ); B( , ); C( , )?
Suppose we have a △ABC with coordinates as follows: A( 3,5 ); B( 1,2 ); C( 6,1 ).
Now, suppose that △ABC undergoes a dilation of ½ about the point ( 10,10 ). How would you go about finding the coordinates for △A'B'C' with that type of scale factor? (Hint: How far would △ABC move if it were about the origin under a dilation of ½ about the origin? How far would it move towards the point ( 10,10 )?) How about a dilation with a scale factor of 3 about the point ( 3,4 )?
Basically, what would the coordinates of the 2 dilations be in the format of A( , ); B( , ); C( , )?
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