Transformations on the Plane

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

• The side lengths of quadrilateral P'R'S'T' are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST.

• The angle measures of quadrilateral P'R'S'T' are greater that the corresponding angle measures of quadrilateral PRST.
  

• The side lengths of quadrilateral P'R'S'T' are 9 units longer than the corresponding side lengths of quadrilateral PRST.

Which representation of a transformation on a coordinate grid does not preserve congruence?

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?

• A reflection across the x-axis

• A translation 7 units down

• A dilation by scale factor of 5

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?

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'. Which rule describes this transformation?

A cricle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?

The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4), and T(4, 2). Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T'. Which rule describes this transformation?