Geometry Multiple Transformations

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Translations, reflections and rotations are all known as ________________________.

• Geometry

• Transformations

• Congruent

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Identify the transformation.

• Reflection across y-axis

• 90 Rotation counter clockwise

• Translation 5 units left, 1 unit up.

• Translation 5 units right, 1 unit down

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

Determine how to translate triangle A'B'C' to triangle ABC.

• (x+2, y-5)

• (x+2, y-9)

• (x-2, y-9)

The rule for rotation of 90 degrees is  
(x, y) --> _

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

The rule for reflection over the y-axis is  
(x, y) --> _

• (-x, y)

• (x, -y)

• (y, x)

• (-y, x)

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

• Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.

• Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

• Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.

• Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.