Mastering Geometry Dilation: Dimensions and Areas Quiz

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

• Length: 5 cm, Width: 3 cm

• Length: 8 cm, Width: 6 cm

• Length: 10 cm, Width: 8 cm

• Length: 6 cm, Width: 4 cm

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

• (0, 0), (9, 12), (15, 6)

• (1, 2), (3, 4), (5, 2)

• The new vertices are (3, 6), (9, 12), and (15, 6).

• (2, 4), (6, 8), (10, 4)

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

• 6 m

• 2.5 m

• 3 m

• 4 m

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

• 9 ft

• 7 ft

• 12 ft

• 10 ft

A photograph measuring 8 inches by 10 inches is enlarged by a factor of 2. What will be the dimensions of the enlarged photograph?

• 16 inches by 20 inches

• 12 inches by 15 inches

• 14 inches by 18 inches

• 10 inches by 12 inches

A trapezoid has bases of 10 cm and 6 cm, and a height of 4 cm. If it is dilated by a factor of 1.25, what will be the new area of the trapezoid?

• 48 cm²

• 50 cm²

• 62.5 cm²

• 40 cm²

A pentagon has a perimeter of 30 cm. If it is dilated by a factor of 4, what will be the perimeter of the new pentagon?

• 60 cm

• 90 cm

• 120 cm

• 150 cm

A rectangular swimming pool is 12 m long and 8 m wide. If the pool is dilated by a factor of 1.5, what will be the new dimensions of the pool?

• The new dimensions of the pool are 18 m long and 12 m wide.

• 20 m long and 15 m wide

• 14 m long and 9 m wide

• 16 m long and 10 m wide

A triangle has a base of 5 cm and a height of 3 cm. If it is dilated by a factor of 2, what will be the area of the new triangle?

• 15 cm²

• 30 cm²

• 25 cm²

• 20 cm²

A model of a building is 1:100 scale. If the model is dilated by a factor of 10, what will be the height of the new model if the original model was 2 m tall?

• 200 m

• 50 m

• 5 m

• 20 m