Sequence of Nonrigid Transformations

When the figure is not congruent it is a.....

• rigid motion

• nonrigid motion

• image

• pre-image

How is vertex J mapped onto vertex P?

• a translation left 3 units and up 4 units

• a translation left 4 units and up 3 units

• a translation right 3 units and down 4 units

• a translation right 4 units and down 3 units

Which rule BEST describes this transformation?

• (x,y) -> (-x, y)

• (x,y) -> (x-2, y-8)

• (x, y) -> (x, -y)

• (x, y) -> (x+8, y-2)

Which sequence of transformations maps rectangle WXYZ onto W'X'Y'Z'?

• 180 degree clockwise rotation about vertex W, followed by a translation 5 units left.

• 270 degree counterclockwise rotation about the origin, followed by a translation 5 units down.

• reflection across the line y = x

• translation 12 units left

What combinaton of transformations is shown?

• Rotation, then translation

• Translation, then reflection

• Rotation, then reflection

• Translation, then rotation

Which figure can be transformed into figure P by a translation 2 units to the right followed by a reflection across the x-axis?

• Figure J

• Figure K

• Figure L

• Figure M

Which sequence of transformations maps triangle ABC onto triangle DEF?

• a reflection over the x-axis followed by a translation

• a reflection over the y-axis followed by a translation

• a rotation of 180 degrees about the origin followed by a translation

• a counterclockwise rotation of 90 degrees about the origin followed by a translation

To get from Figure A to Figure D what is the order of the transformations.

• Translation (A to B), Reflection (B to C), Rotation (C to D)

• Translation (A to B), Rotation (B to C), Translation (C to D)

• Rotation (A to B), Reflection (B to C), Translation (C to D)

• Reflection (A to B), Translation (B to C), Rotation (C to D)

Which of the following describes the sequence of transformations shown? (From A to A' to A")

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise 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 counterclockwise about the origin.

Label the sequence of transformations.

b

c

d

a

Reflect △ABC across the x-axis.

Line of reflection (x-axis).

Center of rotation (0,0).

Rotate △A'B'C' 90° counterclockwise.