Dilation Discoveries: Exploring Factors and Centers

A rectangle has a length of 4 cm and a width of 2 cm. If the rectangle is dilated by a factor of 3, what will be the new dimensions of the rectangle?

• Length: 12 cm, Width: 6 cm

• Length: 8 cm, Width: 4 cm

• Length: 10 cm, Width: 5 cm

• Length: 15 cm, Width: 7 cm

Tags

CCSS.8.G.A.3

A triangle has vertices at (1, 2), (3, 4), and (5, 2). If the triangle is dilated with a center at (2, 2) and a dilation factor of 2, what are the coordinates of the new vertices?

• [(1, 2), (3, 4), (5, 2)]

• [(0, 0), (4, 4), (8, 0)]

• [(2, 4), (4, 6), (6, 4)]

• [(0, 2), (4, 8), (8, 2)]

Tags

CCSS.8.G.A.3

A square has a side length of 5 m. If it is dilated by a factor of 0.5, what will be the area of the new square?

• 25 m²

• 2.5 m²

• 12.5 m²

• 6.25 m²

Tags

CCSS.7.G.A.1

A circle has a radius of 6 inches. If it is dilated by a factor of 1.5, what will be the new radius?

• 12 inches

• 4.5 inches

• 9 inches

• 6 inches

Tags

CCSS.8.G.A.3

A photograph is 8 inches wide and 10 inches tall. If it is enlarged by a factor of 2, what will be the new dimensions of the photograph?

• 16 inches wide and 20 inches tall

• 8 inches wide and 10 inches tall

• 12 inches wide and 15 inches tall

• 20 inches wide and 25 inches tall

Tags

CCSS.7.G.A.1

A pentagon is centered at the origin and has vertices at (1, 1), (1, -1), (-1, -1), (-1, 1), and (0, 0). If the pentagon is dilated by a factor of 4, what are the new coordinates of the vertex at (1, 1)?

• (5, 5)

• (4, 4)

• (3, 3)

• (2, 2)

Tags

CCSS.8.G.A.3

A model of a car is 12 inches long. If the model is reduced by a factor of 0.25, how long will the new model be?

• 1 inch

• 6 inches

• 3 inches

• 9 inches

Tags

CCSS.7.G.A.1

A garden is shaped like a triangle with a base of 10 ft and a height of 6 ft. If the garden is dilated by a factor of 1.5, what will be the new area of the garden?

• 67.5 sq ft

• 60 sq ft

• 75 sq ft

• 45 sq ft

Tags

CCSS.7.G.A.1

A rectangle is dilated with a center at (0, 0) and a factor of 2. If the original rectangle has corners at (1, 1) and (3, 2), what are the coordinates of the new corners?

• (1, 1) and (3, 2)

• The new corners are (2, 2) and (6, 4).

• (2, 1) and (6, 3)

• (0, 0) and (4, 3)

Tags

CCSS.8.G.A.3

A piece of artwork is 24 inches wide and 36 inches tall. If it is reduced by a factor of 0.75, what will be the new dimensions of the artwork?

• 15 inches wide and 25 inches tall

• 18 inches wide and 27 inches tall

• 24 inches wide and 36 inches tall

• 20 inches wide and 30 inches tall

Tags

CCSS.7.G.A.1