Transformation on the Coordinate Grid

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 2 units, then translate the resulting down 2 units.

• Translate Trapezoid 1 to the right 2 units, then reflect the resulting figure across the x-axis.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

Which transformation will NOT transform the original shape into the transformed shape?

• A reflection about the x-axis and then a translation to the right

• A reflection across the y-axis and then a reflection across the x-axis

• Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

• Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes the transformation?

Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

The coordinate grid shows a pentagon. The pentagon is translated 1 unit to the left and 10 units down to create a new pentagon. Which rule best describes this transformation?

• 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?