Compositions of transformations

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)
• (x-8, y-4)
• (x+4, y+8)
• (x-4, y-8)

Identify the transformation from A to D.

• 90^o Clockwise Rotation
• 180^o Rotation
• 270^o Clockwise Rotation
• 360^o Rotation

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Describe the translation of Point A (3, -8) to A'(-4, -5).

• (x - 4, y - 5)

• (x + 7, y - 3)

• (x - 7, y + 3)

• (x - 3, y + 7)

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the

transformation T_{(2, -1)} then r_y-axis ?

• (3, 1), (-1, -7), (6, -6)

• (3, -3), (-1, 5), (6, 4)

• (-3, -3), (1, 5), (-6, 4)

• (-1, -2), (3, 6), (-4, 5)

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the

transformation T_{(2, -1)} then r_y-axis ?

• (3, 1), (-1, -7), (6, -6)

• (3, -3), (-1, 5), (6, 4)

• (-3, -3), (1, 5), (-6, 4)

• (-1, -2), (3, 6), (-4, 5)

Which would be the correct notation for the composition of transformations from blue to red to green?

• <-4,0> then R_{y axis}

• R_{y axis} then <0, -4>

• <0, -4> then R_{y axis}

• R_{x axis} then R_{y axis}

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

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

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis