Congruence and Orientation

An object and its image maintain orientation after translation.

• true

• false

A rectangle is graphed on a coordinate grid. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?

• A dilation by a scale factor of 3

• A translation 90 units to the right

• A reflection across the x-axis

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down

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 a scale factor of 5

• The area of pentagon P'Q'R'S'T' is not equal to the area of pentagon PQRST.

• Pentagon P'Q'R'S'T' is not congruent to pentagon PQRST.

• The perimeter of pentagon P'Q'R'S'T' is greater than the perimeter of pentagon PQRST.

• The angle measures of pentagon P'Q'R'S'T' are congruent to the corresponding angle measures of pentagon PQRST.

• The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

• Triangle XYZ is not congruent to triangle X'Y'Z'.

• The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

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

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

An object and its image preserves congruence (same size and shape) after a rotation.

• true

• false