Dilations Practice Problems

Mason is building a miniature version of a skyscraper for a school project. If he uses a magical enlarging ray to dilate his model by a scale factor of 3, how does the size of the enlarged model compare to the original?

Abigail is on a creative mission to resize a photo for her school project. The magical scale factor that will shrink the original photo size is (a)  

Sophia has a magical shrinking and growing circle. She decides to use her magic to enlarge the circle by a scale factor of 1.5. If the original radius of her circle is 6 units, what will be the new radius of Sophia's magical circle?

Maya is designing a whimsical scale model of a magical park. She sketches a line segment with endpoints at $(0, 0)$ and $(4, 4)$ on her enchanted blueprint. If the blueprint is magically enlarged by a scale factor of 2, what are the coordinates of the image of the endpoint $(4, 4)$?

Ava has a magical square garden with a side length of 4 units. She decides to shrink her enchanted garden using a spell with a scale factor of 0.5. What will be the new side length of Ava's magical garden?

Match the following transformations with their resulting coordinates after dilation from the origin with a scale factor of $-2$.

Charlotte is designing a treasure map and marks a spot $A(2, 3)$ to indicate where the treasure is hidden. To make the map more exciting, she decides to enlarge the map by dilating this point with a scale factor of 2 from the origin. What are the coordinates of the new treasure location $A'$?

Triangle JKL is dilated by a scale factor of $$\frac{1}{2}$$ . Where will point K' be located? (Pick ONE spot!)

Match the following to show a dilation by a scale factor k=5.

When a dilation has a scale factor greater than one, the dilation is an (a)   .