Nonrigid Geometric Transformations

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

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)

Choose 2 TRUE statements about the given picture.

• Line s is the line of reflection that carries triangle EFG onto itself.

• Line t is the line of reflection that carries triangle EFG onto itself.

• The degree of rotational symmetry for equilateral triangle EFG is 120.

• The degree of rotational symmetry for equilateral triangle EFG is 60.

• Equilateral triangle EFG has 5 lines of symmetry.

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.

Which statement is true?

• Rectangle WXYZ is congruent to W'X'Y'Z' because at least one nonrigid transformation is used to transform rectangle WXYZ since the side lengths of the rectangle are not preserved.

• Rectangle WXYZ is congruent to W'X'Y'Z' because only rigid transformations are used to transform rectangle WXYZ since the side lengths of the rectangle are preserved.

• Rectangle WXYZ is congruent to W'X'Y'Z' because at least one nonrigid transformation is used to transform rectangle WXYZ since the side lengths of the rectangle are NOT preserved.

• Rectangle WXYZ is NOT congruent to W'X'Y'Z' because only rigid transformations are used to transform rectangle WXYZ since the side lengths of the rectangle are preserved.

Triangle EFG is the pre-image. Which graph shows a reflection across the y-axis and then a 270 degree counterclockwise rotation?

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If one image can be obtained from another by a sequence of transformations AND dilations, then we say the figures are _______.

A transformation that enlarges or reduces a figure by a scale factor.

A transformation that slides a figure from one position to another without turning.