Rigid Transformation Composition

Which sequence of transformations maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A"B"C"D"?

• reflection followed by rotation

• reflection followed by translation

• translation followed by rotation

• translation followed by reflection

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• reflection followed by translation

• rotation followed by translation

• translation followed by reflection

• translation followed by rotation

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

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

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

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} o r_y-axis ?

• (3, 1), (-1, -7), (6, -6)

• (3, -3), (-1, 5), (6, 4)

• (1, -3), (5, 5), (-2, 4)

• (-1, -2), (3, 6), (-4, 5)

What is the rule for the following reflection? 

• Reflection across       y = −2

• Reflection across        x = −2

• Reflection across            x = 2

• Reflection across          y = 2

What is the rule for the following reflection? 

• Reflection across       y = −2

• Reflection across        y = 2

• Reflection across            x = 2

• Reflection across          x =  −2

Reflection or Rotation

• Reflection

• Rotation

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise