Transformation Rules

A figure is graphed on a coordinate plane with (x, y) representing the location of a point on the figure. The figure is transformed using the rule (x, y) --> (ax, ay). Which statement is true?

• If a is greater than 1, the image of the figure is congruent to the figure.

• If a is between 0 and 1, the image of the figure is congruent to the figure.

• If a is greater than 1, the image of the figure is smaller than the figure.

• If a is between 0 and 1, the image of the figure is smaller than the figure.

Triangle ABC is dilated by a scale factor of 2/3 to create triangle A'B'C'. The perimeter of triangle ABC is x units. What is the perimeter in units of triangle A'B'C'.

• A. x units

• B. 2/3x units

• C. (2/3)^2x units

• D. 3/2x units

A hexagon is graphed on a coordinate plane. The hexagon is dilated to create a larger hexagon, with the origin as the center of dilation. Which rule could represent this dilation?

• (x, y) --> (x + 7, y + 7)

• (x, y) --> (4/3x, 4/3y)

• (x, y) --> (1.2 + x, 1.2 + y)

• (x, y) --> (0.2x, 0.2y)

• Translation

• Reflection across x-axis

• Reflection across y-axis

Which list preserves congruence?

• Translations, Rotations, Reflections

• Translations only

• Rotations only

• None

Which list preserves orientation?

• Translations

• Rotations

• Reflections

• Translations and Reflections

The rule is an example of which transformation ?

• DILATION

• REFLECTION

• ROTATION

• TRANSLATION

The rule is an example of which transformation ?

• DILATION

• REFLECTION

• ROTATION

• TRANSLATION

The rule is an example of which transformation ?

• DILATION

• REFLECTION

• ROTATION

• TRANSLATION

The rule is an example of which transformation ?

• DILATION

• REFLECTION

• ROTATION

• TRANSLATION