Congruence Sequences of Transformations

What sequence of transformations will get you from shape BCD to shape B"C"D" in two steps?

• Rotation, then Rotation

• Rotation, then Dilation

• Reflection, then Rotation

• Translation, then Reflection

Identify the angles of rotation that maps the image to itself.

• multiples of 120°

• multiples of 180°

• multiples of 90°

• multiples of 60°

How many lines of symmetry does the picture have, and what is the angle of rotation?

• 0 lines of symmetry, 180 degrees

• 0 lines of symmetry, 360 degrees

• 2 lines of symmetry, 180 degrees

• 4 lines of symmetry, 90 degrees

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 sequence of transformations produces R’S’T’ from RST?

• a 90 degree clockwise rotation about the origin and then a translation 2 units left

• a 90 degree counterclockwise rotation about the origin and then a translation 2 units right

• a translation 2 units left and then a reflection over the y-axis

• a translation 2 units right and then a reflection over the x-axis

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

• a reflection followed by a rotation

• a reflection followed by a translation

• a translation followed by a rotation

• a translation followed by a reflection

Which sequence of transformations of square PQRS shows that square PQRS is congruent to square TUVW?

• a translation 2 units up and 2 units to the right, then a reflection over the x-axis

• a translation 2 units up and 2 units to the right, then a reflection over the y-axis

• a translation 2 units down and 2 units to the left, then a reflection over the x-axis

• a translation 2 units down and 2 units to the left, then a reflection over the y-axis

• Reflection across the x-axis, translation down 4 and right 1.

• Rotation 180° about the origin, translation down 1 and right 2.

• Rotation 180° about the origin, translation down 2 and right 2.

• Reflection across the x-axis, down 6 and right 3.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that \Delta ABC\cong\Delta DEF

• Reflect △ABC across the x-axis, then translate it down 1

• Reflect △ABC across the x-axis, then translate it up 1

• Reflect △ABC across the y-axis, then translate it down 1

• Reflect △ABC across the y-axis, then translate it up 1

Which sequence of transformations produces A’B’C’ from ABC?

• a translation up 3 and then a 90º counterclockwise rotation about the origin

• a 90º counterclockwise rotation about the origin and then a translation up 3

• a reflection over the x-axis and then a translation left 2 and down 1

• a translation left 5 and down 2 and then a reflection over the x-axis