Representing and Comparing Transformations

Triangle ABC is shown below. Suppose the triangle is translated 5 units to the right and 7 units down. What are the coordinates of the image of vertex C after this transformation?

• (-8, 6)

• (2, -6)

• (-3, -6)

• (2, 0)

Which of these transformations preserve distance and angle measure? (select all)

• Translations

• Reflections

• Dilations

• Rotaitons

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

• The rotation (x, y) --> (-x, -y)

• The translation (x, y) --> (x + 6, y - 2)

• The rotation (x, y) -->(-y, -x)

• The translation (x, y) --> (x + 4, y - 8)

Which type of transformation is (x, y) --> (x + 2, y - 2)?

• dilation

• reflection

• rotation

• translation

What is the image of (x, y) after a translation of 3 units right and 7 units down?

• (x + 3, y - 7)

• (x + 3, y + 7)

• (x - 3, y - 7)

• (x - 3, y + 7)

What are the coordinates of P', the image of P(-4, 0) under the translation (x - 3, y + 6)?

• (-7, 6)

• (7, -6)

• (1, 6)

• (2, -3)

What is the image of point (2, 5) under the translation that shifts (x, y) to (x + 3, y - 2)?

• (0, 3)

• (0, 8)

• (5, 3)

• (5, 8)

A polygon is transformed according to the rule: (x,y) --> (x +2, y). Every point of the polygon moves two units in which direction?

• up

• down

• left

• right

Under the transformation (x, y) --> (2x, 2y), which property is not preserved?

• distance

• orientation

• parallelism

• angle measure

The transformation (x, y) --> (3x, 3y) represents...

• a dilation

• an isometry

• a reflection

• a translation