6.4 Sequences of Transformations

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

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

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

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

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

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

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 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

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)
• (-4,3)
• (4,-3)
• (3,4)

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

What is the sequence of transformations for the image given? 

• Reflect over the x-axis, translate (x+8,y)
• Reflect over the x-axis then translate (x+6, y)
• Reflect over the y-axis then (x+1, y+1)
• Translate down 4 (y-4) and to the right 5 (x+5)

Rigid Transformations will always maintain and preserve ALL of the following EXCEPT...

• size and shape

• angle measurements

• location and orientation

• area and perimeter

• parallel lines