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?

• The enlarged model is one-third the size of the original.

• The enlarged model is the same size as the original.

• The enlarged model is three times the size of the original.

• The enlarged model is nine times the size of the original.

Tags

CCSS.8.G.A.3

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)  

• 1
• 2
• 0.5
• 3

Tags

CCSS.7.G.A.1

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?

• 4 units

• 6 units

• 9 units

• 12 units

Tags

CCSS.7.G.A.1

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 $(4, 4)$?

• (2, 2)

• (8, 8)

• (4, 4)

• (0, 0)

Tags

CCSS.7.G.A.1

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?

• 2 units

• 4 units

• 8 units

• 16 units

Tags

CCSS.7.G.A.1

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

• Point $(4, -5)$

• (4, -5)

• Point $(1, -1.25)$

• (-8, 10)

• Point $(-2, 2.5)$

• (8, -10)

• Point $(-4, 5)$

• (-2, 2.5)

Tags

CCSS.8.G.A.3

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 $A'$?

• (1, 1.5)

• (4, 6)

• (0, 0)

• (2, 3)

Tags

CCSS.8.G.A.3

Tags

CCSS.8.G.A.3

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

• (0,-5)

• (2,3)

• (5,0)

• (0,-1)

• (-5,5)

• (1,0)

• (15,-10)

• (-1,1)

• (10,15)

• (3,-2)

Tags

CCSS.8.G.A.3

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

• enlargement
• reduction

Tags

CCSS.8.G.A.3