The image below shows two dilated figures with lines KL and

The image below shows two dilated figures with lines KL and K \'L\' drawn. If the smaller figure was dilated using a scale factor of 2, what relationship do lines KL and K \'L\' have?

Solution

In this case, the bigger rectangle is 2 times as big as the smaller rectangle. The lines drawn on each rectangle is proportionate. The lines form a triangle wherein the bigger triangle is 2 times as big as the smaller triangle.

Dilation is the transformation of an object that has the same shape but of different sizes.

The lines KL in both sizes are parallel with each other and each line cuts across a portion of the rectangle which is proportionate with each size.