Transformation and Congruence

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

• (x,y) → (−1/2x, 1/2y)

• (x,y) → (x + 7, y + 7)

• (x,y) → (−x, −y)

• (x,y) → (y, −x)

Tags

8.10.B

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A rotation of 270° counterclockwise

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down

Which statement about figure 1 and 2 must be true?

• A series of transformations will transform 1 to 2, and the figures will be congruent.

• A 180º clockwise rotation will transform 1 to 2, and the figures will be congruent.

• A series of transformations will transform 1 to 2, but the figures will not be congruent.

• A 90º clockwise rotation will transform 1 to 2,

  but the figures will not be congruent.

• A

• B

• C

• D

What type of transformation is shown?

• Dilation

• Translation

• Reflection

• Rotation

Are the figures congruent?

(What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

Are the figures congruent or similar?

(What type of transformation is shown?)

• Similar (dilation)

• Similar (translation)

• Congruent (dilation)

• Congruent (translation)

Are the figures congruent? (What type of transformation is shown?)

• NOT Congruent (dilation)

• NOT Congruent (translation)

• Congruent (dilation)

• Congruent (translation)

​ (a)   refers to whether the pre-image and image have the same size and shape.

• Congruence

• Similarity

• Orientation of the Figure

• Orientation of the Vertices

Match the following words with their description.

• An image that has changed in shape or size after a transformation.

• Congruent

• An image that has the same shape, but a different size after a transformation.

• Not Congruent

• A transformation that causes a figure to change in size.

• Similar

• An image that has the same shape and size after a transformation.

• Dilation