Geometry Common Core Review

Determine the image of the rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5) after a dilation with a scale factor of 3.

• (0, 0), (0, 0), (0, 0), and (0, 0)

• (2, 4), (2, 10), (8, 4), and (8, 10)

• (5, 1), (5, 3), (12, 1), and (12, 3)

• (3, 6), (3, 15), (12, 6), and (12, 15)

Determine the image of the square with vertices at (-2, -2), (-2, 2), (2, -2), and (2, 2) after a dilation with a scale factor of 4.

• (8, 8), (8, -8), (-8, 8), (-8, -8)

• (6, 6), (6, -6), (-6, 6), (-6, -6)

• (4, 4), (4, -4), (-4, 4), (-4, -4)

• (10, 10), (10, -10), (-10, 10), (-10, -10)

• A

• B

• C

• D

Identify the dilation of the point (3, 4) with a scale factor of 2.

• (6, 8)

• (5, 6)

• (9, 12)

• (1, 2)

Calculate the scale factor of the dilation that maps triangle ABC to triangle A'B'C' where AB = 6, A'B' = 12.

• 5

• 2

• 4

• 3

Calculate the scale factor of the dilation that maps quadrilateral PQRS to quadrilateral P'Q'R'S' where PQ = 8, P'Q' = 4.

• 3

• 0.5

• 10

• 2

Determine the image of the triangle with vertices at (0, 0), (0, 6), and (8, 0) after a dilation with a scale factor of 0.75.

• (0, 0), (0, 3), (4, 0)

• (0, 0), (0, 5), (7, 0)

• (0, 0), (0, 7), (9, 0)

• (0, 0), (0, 4.5), (6, 0)

Identify the dilation of the point (5, -3) with a scale factor of 1.

• (6, -3)

• (5, -4)

• (5, -3)

• (4, -3)

Calculate the scale factor of the dilation that maps pentagon UVWXYZ to pentagon U'V'W'X'Y' where UV = 10, U'V' = 5.

• 5

• 3

• 8

• 2

Identify the dilation of the point (0, 0) with a scale factor of 3.

• (0, 0)

• (2, 2)

• (3, 3)

• (1, 1)