Sequences of Transformations Rigid Motions on a Coordinate Plane

What is a translation?

• Transformations that preserve the size and shape of a figure.

• A rigid motion that shifts or moves a figure.

• Another name for rigid motion, which is a transformation that preserves the size and shape of a figure.

• A rigid motion that produces a mirror image of a figure.

• Figures that can map on top of one another after a sequence of rigid motions.

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

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

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 ABC to A'B'C'.

• Translation

• 90^o clockwise rotation

• 90^o counterclockwise rotation

• Reflection across the x-axis

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the y-axis

• Reflection across the x-axis

• 90^o counter clockwise Rotation

Which rule would result in a clockwise rotation of 90° about the origin?

• (x, y) → (y, x)

• (x, y) → (4x, 4y)

• (x, y) → (x, -y)

• (x, y) → (x + 4, y + 4)

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

Which algebraic rule will produce a translation that is 5 units to the right?

• (x, y)  --> ( x ,  y + 5)

• (x, y)  --> (  x-5 ,  y + 5)

• (x, y)  --> (  x-2 ,  y + 5)

• (x, y)  --> (  x+5 ,  y)

Which of the following transformations produces a figure that is congruent to the original figure?

• Rotations

• Reflections

• Translations

• Dilations