Sequence of Transformations That Keep Congruency

What combinaton of transformations is shown?

• Rotation, then translation

• Translation, then reflection

• Rotation, then reflection

• Translation, then rotation

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

If the red triangle is rotated 180 degrees, then reflected over the line y=2, what is the resulting image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

Describe a sequence of transformations that maps 
Triangle ABC onto Triangle A"B"C".

• 180° rotation about the Origin followed by a reflection across the y-axis

• reflection across the y-axis followed by a reflection across the x-axis and another reflection across the y-axis

• translation 8 units right and 6 units down followed by a reflection across the y-axis

• reflection across the x-axis followed by a translation 2 units to the left

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

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 transformation(s) maintain congruency but not orientation?

• Translation

• Translation & Reflection

• Rotation

• Reflection & Rotation

Translations keep

• both congruence and orientation

• only congruence

• only orientation

• neither