Proving Congruency in Transformations

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Which of the following are congruence transformations?

• Rotations

• Translations

• Reflections

• All Three

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?

Translations 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)

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes