Sequences of Transformations Rigid Motions

Adam drew polygon QRTUV on the grid below. Next he translated the polygon by 3 units to the right and 4 units down. Which statement about the sides of the transformed polygon, Q'R'T'U'V', is true?

• Q'V' is parallel to Q'R'

• V'U' is parallel to Q'R'

• V'U' is parallel to R'T'

• U'T' is parallel to Q'V'

The triangles are congruent. Which sequence of rigid motions will take triangle XYZ onto triangle BCA?

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line CB

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with B. Reflect X"Y"Z" across line AC.

• Translate XYZ using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z" across line CB.

• Translate XYA using directed line segment YC. Rotate X'Y'Z' using C as the center so that X' coincides with A. Reflect X"Y"Z across line AC.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC is congruent to ΔDEF ?

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

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

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

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

Name the series of transformations that maps ABC onto DEF

• reflect over x then translate left 6 up 1

• reflect over y then translate down 6 left 1

• translate right 6 down 1, then reflect over x

• rotate 90 clockwise then reflect over y

Which of the following is a sequence of rigid motions to take figure CBA to figure MLK?

• Translate figure ABC by the directed line segment from B to L. Rotate the image of figure ABC using M as the center so that the image of A coincides with M.

• Translate figure ABC by the directed line segment from C to M. Rotate the image of figure ABC using M as the center so that the image of B coincides with L.

• Reflect figure ABC across segment CL. Reflect the image of figure ABC across segment BL.

• There isn't a sequence of rigid motions to take figure CBA to figure MLK.

In the diagram, congruent figures 1, 2, and 3 are drawn.

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

• a reflection followed by a translation

• a rotation followed by a translation

• a translation followed by a reflection

• a translation followed by a rotation

Which sequences make congruent figures?

• translations only

• rotations, reflections, and translations

• rotations and reflections only

• dilations, reflections, rotations, and translations

Determine if the two figures are congruent by using transformations. Explain your reasoning

• congruent; a rotation

• congruent; a reflection followed by translation

• not congruent

• congruent; a reflection

Pick a rule to describe the rotation

• 90 degrees clockwise around the origin

• 90 degrees counter clockwise around the origin

• 180 degrees around the origin

• True

• False