4. 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

4.	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

anonymous · Answer

attachment

anonymous · Answer

I think they would be parallel lines but I am not sure how I would even explain that.

ranga · Answer

Yes, they would be parallel lines.

Before the dilation, the center of the square is at (0,3) and the equation of the horizontal line passing through the center is: y = 3.

After the dilation by a scale factor of 2, the center of the square will be at (0,6) and the equation of the horizontal line passing through the center will be: y = 6.

Therefore, the lines will be parallel.