In the image below, a line was drawn horizontally through the center of ABCD. If ABCD was dilated using a scale factor of 2 and a line was drawn horizontally through the center of the dilated figure, what would you notice about the two lines? Explain your answer using complete sentences.

Question

anonymous · Answer

attachment

anonymous · Answer

@FutureMathProfessor @robtobey

anonymous · Answer

@ranga @dan815

ranga · Answer

Can you tell me the coordinate of the center of ABCD before the dilation?

anonymous · Answer

A (-1, 2) B (-1, 4) C (1, 4) D (1, 2)

ranga · Answer

How about the coordinate of the center?

anonymous · Answer

After --- > A (-2, 4) B (-2, 8) C (2, 8) D (2, 4)

ranga · Answer

Well, I asked the same question twice but you are not answering.

anonymous · Answer

Oh, (0, 3)

ranga · Answer

Yes.  When dilating,  the center will also get dilated by the same factor.
So what will be the coordinate of the center AFTER dilation?

anonymous · Answer

(0, 6)

ranga · Answer

Yes.  So what was the equation of the horizontal line through the center before dilation and what will be the equation after dilation?

anonymous · Answer

Before (0, 3) and after (0, 6)

ranga · Answer

Those are the coordinate of the center. 
The equation of the horizontal line through the center before dilation is: y = 3 
The equation of the horizontal line through the center after dilation is: y = 6 
Both lines are horizontal and parallel to each other.

anonymous · Answer

That was soo easily, Thank you!

ranga · Answer

You are welcome.

anonymous · Answer

easy* ^,^