Transformation Rules

A figure is dilated on a coordinate grid to create a similar, smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?

• A. (x, y) --> (1.5 - x, 1.5 - y)

• B. (x, y) --> (x - 10, y - 10)

• C. (x, y) --> (7/3x, 7/3y)

• D. (x, y) --> (0.75x, 0.75y)

Quadrilateral ABCD was translated 3 units to the right and 4 units up to create quadrilateral A'B'C'D'. Which rule describes this transformation?

• A. (x, y) --> (x - 3, y - 4)

• B. (x, y) --> (x + 3, y + 4)

• C. (x, y) --> (x - 4, y - 3)

• D. (x, y) --> (x + 4, y + 3)

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• A. (x, y) --> (2x, 2y)

• B. (x, y) --> (x + 2, y - 2)

• C. (x, y) --> (0.5x, 0.5y)

• D. (x, y) --> (x - 0.5, y - 1)

A figure is reflected across the y-axis to create a new figure. Which rules describes this transformation?

• A. (x, y) --> (-x, y)

• B. (x, y) --> (x, -y)

• C. (x, y) --> (-x, -y)

• D. (x, y) --> (y, x)

A hexagon is graphed on a coordinate plane. The hexagon is dilated to create a larger hexagon, with the origin as the center of dilation. Which rule could represent this dilation?

• A. (x, y) --> (x + 7, y + 7)

• B. (x, y) --> (4/3x, 4/3y)

• C. (x, y) --> (1.2 + x, 1.2 + y)

• D. (x, y) --> (0.2x, 0.2y)

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'. Which rule describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

• A 90 degree clockwise rotation around the origin

• A 180 degree clockwise rotation around the origin

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'.

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'. Which rule describes this transformation?

Triangle RST is translated 6 units to the left and 4 units up to create R'S'T'.

Which rule best describes this transformation?