Congruence and Orientation Transformations

An object and its image maintain orientation after reflection.

• true
• false

An object and its image maintain congruence after reflection.

• true
• false

An object and its image maintain congruence after a rotation.

• true
• false

What is congruence?

• Same size, different shape
• Same size, same shape
• The way a figure is facing
• Flipping over a line

Translations keep

• both congruence and orientation
• only congruence
• only orientation
• neither

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 preserves congruence?
I. Rotation
II. Reflection
III. Dilation
IV. Translation

• I, II, and IV
• I and II only
• I, II, and III
• IV only

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

• A reflection across the x-axis
• A translation 4 units up
• A dilation by a scale factor of 5
• A rotation 90° counter clockwise