Review All Types of Transformations on Coordinate Plane

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

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'.

• 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.

• 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

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

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?