Algebraic Representations of Rigid Transformations

Quadrilateral ABCD is shown on the coordinate grid. Mrs. Berger will rotate the figure 90 degrees counter-clockwise to create quadrilateral A’B’C’D’. Which ordered rule describes this transformation?

• (x, y) → (y,-x)

• (x, y) → (-y, x)

• (x, y) → (-y,-x)

• (x, y) → (x-6, y)

How can this transformation be represented algebraically?

• (x + 4, y)

• (-x, -y)

• (-x, y)

• (y, -x)

Describe the rotation.

• Rotate 90 degrees clockwise about the origin

• Rotate 90 degrees counter clockwise about the origin

• Rotate 180 degrees about the origin

• Rotate 180 degrees

Quadrilateral VWXY is translated 10 units to the right and 7 units down to create quadrilateral V'W'X'Y'. Write a rule that describes the translation that is applied to quadrilateral VWXY to create quadrilateral V'W'X'Y'.

d

e

y-7

10x

x+10

7y

y+7

x-10

What is the Algebraic Representation for this transformation?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

Write the algebraic express for the translation shown.

Triangle ABC was transformed to create triangle A'B'C'.  Which algebraic representation best describes this transformation?

What is the algebraic representation for this transformation?

• (x,y)--> (x+6,y-2)

• (x,y)-->(x-2,y+2)

• (x,y)-->(x-6,y+2)

• (x,y)-->(-x,y)

Quadrilateral VWXY is translated 10 units to the right and 7 units down to create quadrilateral V'W'X'Y'. Write a rule that describes the translation that is applied to quadrilateral VWXY to create quadrilateral V'W'X'Y'.

d

e

7y

y-7

10x

x+10

x-10

y+7