Would you please help me with this tough math homework problem?

Question

Dilations

Quadrilateral MNPQ is the same shape but a different size than quadrilateral M'N'P'Q'. Tell whether one figure is a dilation of the other or not. Explain your reasoning.

Answer 1

Hi Leena--

 

One is a dilation of the other assuming that the change in size is proportional on all sides and the angles stay the same.

 

So for example, if your shape is a rectangle with sides of 3, 4, 3, and 4, and the second shape is 6, 8, 6, and 8, then yes it's a dilation because you multiplied each side by 2 ("Dilated by a factor of 2") and the angles did not change.

 

Hope this helps!

 

Matt in NY