Mastering Dilation: Scale Factors in Geometry for Grade 8

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

• Length: 12 cm, Width: 6 cm

• Length: 10 cm, Width: 5 cm

• Length: 8 cm, Width: 4 cm

• Length: 15 cm, Width: 7 cm

A triangle has vertices at (1, 2), (3, 4), and (5, 2). If the triangle is dilated by a scale factor of 2 from the origin, what are the coordinates of the new vertices?

• (2, 4), (6, 6), (10, 2)

• The new vertices are (2, 4), (6, 8), and (10, 4).

• (1, 2), (3, 4), (5, 2)

• (4, 8), (6, 4), (10, 6)

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

• 2.5 m²

• 6.25 m²

• 12.5 m²

• 10 m²

A circular garden has a radius of 6 feet. If the garden is dilated by a scale factor of 1.5, what will be the new radius of the garden?

• 9 feet

• 12 feet

• 7.5 feet

• 6 feet

A triangle with a base of 10 cm and a height of 5 cm is dilated by a scale factor of 4. What is the area of the new triangle?

• 200 cm²

• 400 cm²

• 100 cm²

• 50 cm²

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

• 20 inches wide and 25 inches tall

• 10 inches wide and 8 inches tall

• 16 inches wide and 20 inches tall

• 12 inches wide and 15 inches tall

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

• 3 inches

• 6 inches

• 12 inches

• 9 inches

A rectangular pool measures 20 m by 10 m. If the pool is dilated by a scale factor of 1.2, what will be the new area of the pool?

• 240 m²

• 300 m²

• 180 m²

• 288 m²

A hexagon has a perimeter of 30 cm. If it is dilated by a scale factor of 3, what will be the perimeter of the new hexagon?

• 45 cm

• 90 cm

• 75 cm

• 60 cm

A piece of artwork is 15 cm by 20 cm. If it is reduced by a scale factor of 0.4, what will be the dimensions of the new artwork?

• 7 cm by 14 cm

• 6 cm by 8 cm

• 10 cm by 12 cm

• 5 cm by 10 cm