Congruence and Transformation

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

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

• reflection across the x-axis

• translation 4 units up

• dilation by a scale factor of 5

• rotation 90° counter clockwise

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

Dilations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

• rotation

• translation

• dilation

• reflection