Real-World Dilation: Graphing and Problem Solving Quiz

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

• [(0, 0), (2, 2), (1, 0)]

• [(4, 5), (8, 6), (6, 3)]

• [(4, 6), (8, 10), (6, 2)]

• [(2, 3), (4, 5), (3, 1)]

A rectangle has a length of 6 cm and a width of 4 cm. If the rectangle is dilated by a scale factor of 1.5, what will be the new area of the rectangle?

• 36 cm²

• 24 cm²

• 48 cm²

• 54 cm²

A square has corners at (1, 1), (1, 5), (5, 1), and (5, 5). If the square is dilated by a scale factor of 0.5 from the center (3, 3), what are the coordinates of the new corners?

• [(3, 3), (3, 5), (5, 3), (5, 5)]

• [(2, 2), (2, 6), (6, 2), (6, 6)]

• [(2, 2), (2, 4), (4, 2), (4, 4)]

• [(1, 1), (1, 5), (5, 1), (5, 5)]

A model of a building is 10 feet tall. If the model is dilated by a scale factor of 3, how tall will the actual building be in feet?

• 15 feet

• 20 feet

• 25 feet

• 30 feet

A circle has a radius of 4 inches. If the circle is dilated by a scale factor of 2, what will be the new circumference of the circle? (Use π ≈ 3.14)

• 50.24 inches

• 40.96 inches

• 62.83 inches

• 25.12 inches

A triangle with vertices at (0, 0), (2, 0), and (1, 2) is dilated by a scale factor of 3. What are the coordinates of the new triangle's vertices?

• (0, 0), (3, 0), (1, 3)

• [(0, 0), (6, 0), (3, 6)]

• (0, 0), (4, 0), (2, 4)

• (0, 0), (5, 0), (2, 5)

A garden is in the shape of a rectangle measuring 8 meters by 5 meters. If the garden is dilated by a scale factor of 2, what will be the new perimeter of the garden?

• 52 meters

• 30 meters

• 60 meters

• 40 meters

A pentagon has vertices at (1, 1), (2, 3), (3, 1), (2, -1), and (0, 0). If the pentagon is dilated by a scale factor of 0.75 from the origin, what are the new coordinates of the vertices?

• [(0.75, 0.75), (1.5, 2.25), (2.25, 0.75), (1.5, -0.75), (0, 0)]

• [(0.5, 0.5), (1.5, 2.5), (2.5, 0.5), (1.5, -1), (0, 0)]

• [(1, 1), (2, 3), (3, 1), (2, -1), (0, 0)]

• [(1, 1), (2.25, 3), (3, 1), (2, -1), (0, 0)]

A photograph is 6 inches wide and 4 inches tall. If it is enlarged by a scale factor of 2, what will be the new dimensions of the photograph?

• 14 inches wide and 10 inches tall

• 12 inches wide and 8 inches tall

• 10 inches wide and 6 inches tall

• 8 inches wide and 4 inches tall

A triangle has sides measuring 3 cm, 4 cm, and 5 cm. If the triangle is dilated by a scale factor of 2, what will be the lengths of the sides of the new triangle?

• The lengths of the sides of the new triangle are 6 cm, 8 cm, and 10 cm.

• 8 cm, 10 cm, 12 cm

• 5 cm, 6 cm, 7 cm

• 4 cm, 5 cm, 6 cm