Compositions of Transformations on Points

Which of the following is the algebraic representation for a dilation?

• (x, y) → (-x,-y)

• (x, y) → (3x,3y)

• (x, y) → (x+2,y-3)

• (x, y) → (y,x)

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x , 2y)

• (x, y) → (2x, 3y)

Tags

CCSS.HSG.CO.A.2

What is the sequence of transformations?

• Reflect over the y-axis then reflect over the x-axis

• Reflect over the x-axis then reflect over the y-axis

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x-axis

Tags

CCSS.8.G.A.3

A transformation in which a second transformation is performed on an image of a first transformation is called

• Composition of transformations

• Congruence

• Consecutive steps

• Similarity

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? \(\left(x,y\right)\rightarrow\left(x,\ y+3\right)\) then rotated \(90\degree\) clockwise about the origin.

Tags

CCSS.8.G.A.3

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

• right 2, down 5

• right 2, down 9

• left 2, up 9

• left 2, down 9

Tags

CCSS.HSG.CO.A.2

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

• (4,0)

• (0,4)

• (-1,5)

• (5,-1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3