Algebraic Representations of Rigid Transformations

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How can this transformation be represented algebraically?

• (x + 4, y)

• (-x, -y)

• (-x, y)

• (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Tags

CCSS.HSG.CO.B.6

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

x+10

y-7

7y

y+7

10x

x-10

Tags

CCSS.HSG.CO.A.2

What is the Algebraic Representation for this transformation?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Write the algebraic express for the translation shown.

Tags

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSG.CO.A.2

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)

Tags

CCSS.HSG.CO.A.2

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

x+10

10x

x-10

y+7

y-7

Tags

CCSS.HSG.CO.A.2