Dilations and Scale Factor

What is the scale factor if the image is twice as large as the original shape?

• 2

• 10

• 3

• 0.5

Tags

CCSS.7.G.A.1

Given the original coordinates (3, 5), what are the image coordinates if the scale factor is 3?

• (9, 15)

• (15, 25)

• (12, 20)

• (6, 10)

Tags

CCSS.7.G.A.1

If the original shape has dimensions of 4cm by 6cm, what are the new dimensions if the scale factor is 2?

• 8cm by 12cm

• 10cm by 14cm

• 2cm by 3cm

• 6cm by 8cm

Tags

CCSS.7.G.A.1

A triangle with vertices (1, 2), (4, 2), and (3, 5) is dilated with a scale factor of 3. What are the coordinates of the image triangle?

• (3, 6), (12, 6), (9, 15)

• (1, 2), (4, 2), (3, 5)

• (9, 18), (36, 18), (27, 45)

• (2, 4), (8, 4), (6, 10)

Tags

CCSS.8.G.A.3

If the scale factor is 0.5, what is the new length of a line segment that was originally 8 units long?

• 6

• 10

• 2

• 4

Tags

CCSS.7.G.A.1

Given the original coordinates (2, 4), what are the image coordinates if the scale factor is 0.75?

• (1.5, 3)

• (0.5, 1)

• (2.5, 5)

• (1.25, 2.5)

Tags

CCSS.8.G.A.3

If the original shape has dimensions of 10cm by 12cm, what are the new dimensions if the scale factor is 0.4?

• 4cm by 4.8cm

• 8cm by 9.6cm

• 6cm by 7.2cm

• 2cm by 2.4cm

Tags

CCSS.7.G.A.1

A rectangle with vertices (1, 1), (4, 1), (4, 3), and (1, 3) is dilated with a scale factor of 2. What are the coordinates of the image rectangle?

• (0, 0), (4, 0), (4, 6), (0, 6)

• (2, 2), (8, 2), (8, 6), (2, 6)

• (3, 3), (6, 3), (6, 9), (3, 9)

• (1, 1), (2, 1), (2, 3), (1, 3)

Tags

CCSS.8.G.A.3

If the scale factor is 1.5, what is the new area of a shape that had an original area of 36 square units?

• 45

• 54

• 64

• 81

Tags

CCSS.7.G.A.1

Given the original coordinates (5, 7), what are the image coordinates if the scale factor is 2.5?

• (12.5, 17.5)

• (7.5, 10.5)

• (10, 14)

• (15, 21)

Tags

CCSS.8.G.A.3