Properties of Orientation and Congruence

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Which of the following are congruence transformations?

• Rotations

• Translations

• Reflections

• All Three

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• Angles Equal

Which transformation(s) maintain congruency but not orientation?

• Translation

• Translation & Reflection

• Rotation

• Reflection & Rotation

Which representation of a transformation on a coordinate plane does NOT preserve congruence?

Dilations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

Reflections keep

• both congruence and orientation

• only congruence

• only orientation

• neither

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

• (x,y) → (2x,2y)

• (x,y) → (x+3, y-9)

• (x,y) → (-x,y)

• (x,y) → (y,-x)

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

• (x,y) → (2x,2y)

• (x,y) → (x+3, y-9)

• (x,y) → (-x,y)

• (x,y) → (⅓x, ⅓y)

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

• A dilation with a scale factor of (⅕x, ⅕y)

• A translation 4 units up

• A dilation by a scale factor of 5

• A rotation 90° clockwise