Congruence and Transformation

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. Which transformation does not preserve congruence?

• A reflection across the x-axis

• A translation 7 units down

• A dilation by a scale factor of 5

• A rotation of 90° clockwise

Which transformation does NOT preserve congruence?

• (x,y) → (−x, −y)

• (x,y) → (x − 5, y + 2)

• (x,y) → (−x, y)

• (x,y) → (2x, 2y)

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

Are the figures congruent or similar?

(What type of transformation is shown?)

• Similar (dilation)

• Similar (translation)

• Congruent (dilation)

• Congruent (translation)

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

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

Determine if the two figures are congruent by using transformation. If so, what kind of transformation?

• congruent; a counterclockwise rotation of 90 degrees followed by a translation

• congruent; reflection

• congruent; translation

• not congruent

Which statement is true about the transformation?

• The transformation preserves congruency and maintains orientation.

• The transformation preserves congruency and does not maintains orientation.

• The transformation does not preserves congruency but maintains orientation.

• The transformation does not preserves congruency or maintains orientation.