Transformations

Identify the sequences of transformations from image A to B to C.

• reflection then translation

• reflection then reflection

• translation then translation

• translation then reflection

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees around the origin
• Rotate -90 degrees around the origin and then translate down.
• Reflect across the x-axis and then reflect across the y-axis.
• Translate up and then rotate 90 degrees about the origin.

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} (translation x+2, y-1) then reflect over the 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 word means when one shape becomes exactly like another a flip, slide, or turn

• polygon

• attribute

• symmetry

• isosceles

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)

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

• <x-4,y+0> then Reflection over the _{y axis}

• Reflection over _{y axis} then <x + 0, y-4>

• <x+0, y-4> then Reflection over the _{y axis}

• Reflection over _{x axis} then Reflection over the _{y axis}

Reflection, Translation or Rotation

• reflection to translation

• rotation to translation

• translation to translation

The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?

• (−a, b)
• (−a, −b)
• (a, −b)
• (a, b)

• 0.87

• 0.78

• 0.77

• 0.81

If the figure is translated 5 units down AND reflected across the y-axis, which Quadrant would it be in?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV