Rotations and Compositions of Transformations

What would the new point be if you rotated the point (3,-5) 270° clockwise?

• a. (-3,-5)

• b. (-5,-3)

• c. (5,3)

• (-3,5)

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

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

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

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.

What are the coordinates of point A' , the image of point A(-4, 1)  after the composition of transformations R₉₀ followed by r_y=x  where the origin is the center of rotation?

• (-1, -4)

• (-4, -1)

• (1, 4)

• (4, 1)

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x

What are the coordinates of point A' , the image of point A(-4, 1)  after the composite transformation R₉₀ o r_y=x  where the origin is the center of rotation?

• (-1, -4)

• (-4, -1)

• (1, 4)

• (4, 1)

A double reflection over the x- and y-axes is the same as a ____________ of ______.

• Rotation of 180 Degrees

• Rotation of 90 Degrees

• Reflection over the x-axis

• Reflection over the y-axis

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

• composition of transformation

• translation

• rigid motion

• reflection